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UC-NRLF

TABLES

OF

HARMONIA

University of California.

TABLES

OF

HARMONIA

9

BY

E. SCHUBERT.

COMPUTED FOR THE

AMERICAN EPHEMERIS AND NAUTICAL ALMANAC,

*&- OP THB***^

riU-7.EBSIT7]

WASHINGTON.

1869.

\v

-

INTRODUCTION,

A COMPLETE list of the general perturbations of Harmonia by Jupiter and the determination of the
* elements by means of them having been published in Vol. LXVI of the " Astr. Nachrichten," it is only
necessary to repeat here the retained terms of the perturbations in the contracted form and the elements
upon which the Tables have been constructed.

In these M and M' are the mean anomalies of Harmonia and Jupiter respectively.
Denoting the arguments as follows :

1 = - M'

U = M - 2 M'

HI = M- M'

IV = M3M'

V = '2 M - M'

VI = M

VII = 2 M - 3 M'

VIII = 3 M - 2 M'

IX = 3 M - 4 M'

X =

XI =
XII =

XIII =

XIV =
XV =

XVI =
XVII =

M - 4 M'

3 M - M'

4 M 3 M'
M 2 M'
M -3M'
M - M'

3 M - 5 M'

4 M' 5 M'

XVIII =

XIX =

XX =

XXI =

XXII =

XXIII =

XXIV =
XXV =

5 M - 3M'

4 M - M'
5M-2M'

5 M - 4 M '
2 M - 5 M'

- 2 M - M'
5M-GM'

6 M - 5 M'

The perturbations of the rectangular coordinates in units of the Sixth Decimal (the plane of the orbit
of Harmonia being the fundamental-plane) are :

M

1 M

2 J\l

3 .If

4 M

1

2 I

3 1

4 I

II

'> II
3 II

III

2 III

3 III
'4 III

5 III

IV
2 IV

- 3.10*
+ 0.05*
+ l.Obt
+ 0.07*

+733.1
-2G5.2
-222.8

- 14.5

-846.3

- 2.7

- 0.9

+ 4J.4
v+147.4
+119.8
+ 2.7
+ 0.5

-377.4

- 0.9

+412.52*
+ 22.89J
+ 1.26*
+ 0.06*

+ 146.4

- 132.3
- 83.1

4.0

- 348.9

5.1

- 0.4

11.5

75.3

28.3

1.7

0.5

- 85.0

- 11.38*
-412.35*

- 22.88*

- 1.26*

- O.OGi

+ 147.2

- 132.1

- 83.0

4.0

- 344.6

- 15.0

- 0.4

+ 15.9

- 69.6

- 27.8

- 1.7

- 0.5

- 85.1

1.06*
0.07*

- 728.9
+ 265.5
+ 222.8
+ 14.5

+ 847.5
+ 41.1
+ 0.9

+ 31.5
+ 136.1
+ 119.6

+ 3.0
+ 0.8

+ 378.4

+ 0.9

+18.94*
+ 0.44*

+ 13.5

- 1.9

- 0.0

+ 23.0
+ 5.6

- 2.3
+ 1.1

- 0.8

+ 4.4

+ 2.7

- 1.4

- 0.4

+ 9.3

+ 2.8

- 1.3

+ 0.9

- 0.4

+ 2.0

fi

1\

fi

CO*

in

cot

lin

cos

sin

V

-328.0

- 67.3

+ 67.5

- 328.6

- 5.6

- 1.1

a v

+ 16.0

+ 6.6

- 0.6

+ I.V.i

VI

- 8.1

+ l.H

- 1.4

1 V 1

+112.0

+111.5

+ 5.3

J VI

+ 6.1

- 1 -'

+ 1.1

+ 6.1

VII

+ 93.4

+ 11.3

-1237

+260.6

- 30.5

- 19.9

2 VII

1.1

- 1.4

1.4

+ 1.6

Mil

+205.6

+ Ki 1

- 85.0

+205.2

- 1.0

- 0.4

IX

- 27.4

- 14.9

- 15.7

+ 3.8

- 1.5

- 1.5

X

+ 32.4

- 0.7

- 0.7

- 32.3

XI

- 2 1 ,'.-'

- 4.7

+ 4.8

- 22.4

XII

+ 20.7

+ 10.2

- 10.1

+ 20.5

XIII

- 9.8

- 3.9

- 3.8

+ 9.8

XIV

- 9

- 3.5

- 3.5

+ 9.6

XV

- 2.5

+ 15.0

+ 16.0

+ 2.5

'

XVI

- 4.8

- 3.3

- 3.3

+ 4.1

XVII

- 3.1

- 4.6

- 5.0 .

+ 3.6

\VIII

+ 1.6

+ 0.9

- 0.9

+ 1.6

MX

- 1.3

- 0.3

+ 0.3

- 1.3

XX

+ 1.0

+ 0.4

- 0.4

+ 1.0

X XI

+ 1.7

+ 1.9

- 1.8

+ 1.7

.XXII

+ 1.2

- 0.9

- 0.9

- 1.3

XXIII

- 0.8

+ 0.5

+ 0.5

+ 0.8

XXIV

- 0.8

- 1.5

- 1.6

+ 1.3

XXV

4- .1 -,

+ 0.7

- 0-7

+ 0.5

Elfmaitt.

1863, Jan. 0, Washington Mean Tiim-.

/ //

/ //

J/ = 186 52 40.5 f = 2 40 13.6

- = 051 7.0 ,, = 1039".3353
Q = 93 34 51.8 f Ml * ** | og a = 0.355500

= 45 48.4

The following Normals arc reduced to the mean equinox 1863.0.

Berlin M. T.

" ' Berlin M. T.

a

,1

1856 April

+ 5 4 1 lie 1861 December 27.5

78 3o BJJ

+i>3 3/'.4

7 Soplemb.

]-:', 1883 M.u

'->I7 4 58.0

- 8 !>l L"J -

1- 1 . -.

1 !' 1", 1 +l!l M 1II.7 l-.l II, , .,!., .

17 41 34.7

- 49 44.!)

Julr

-24 47

and they arc rcprcsentc.! l.y tin- Tal.l. , uiili thu followinu' r. -^iiluals :-

.

A o co t A <J A o cog <5

A i

-::

n

+0.3

:" 0.3 4.7

+2.9

+"' +5.0

+ 1.7

+fi.l . :;s

Example for computing a Place from the Tables.
1866, March l d .5, Berlin M. T.=March l d 5" 58 m 15 Washington M. T.

log 71

log e

8.668304 9.959502 0.354557

We will refer the place to the mean equinox 1863.0. From Table V we take the logarithms,

cos (z, z)

9.998741

and from Table VI the constants,

cos (T/! z) cos (z t z)

8.220160n 8.870363

cos ^ y)
8.646290

cos (1/1 y)

9.963134

O / II

90 57 13.9

C'

o / //

351 7 37.2

cos (z, y)

9.594004w

log sin a
9.998801

COS (Z! Z)

8.788935rc

COS (j/i Z)

9.596393

COS (Zi Z)

9.962224

log sin A

9.963641

1866

March

1 day

5 hours

58 minutes

15 seconds

1866
March
1 day
6 hours

166
March
1 day
6 hours

1866
March
1 day
6 hours

2 46 26.5

= mean anomaly, and t = time since 1863.0 are taken from Table I.

M t

143 17 51.95 +3.00068
17 2 0.78
17 19.33
3 36.53

41.86

^ 0.18

160 41 30.63 +3.16553

0.16154
0.00274
0.00057

1-

cot

cot
M = cot

M

80 20 45.3

_ v' 81 11 28.8

v' 162 22 57.6

From Table II. c- 1 4.4

v 162 21 53.2

COS V

e cos v
1 + e cos v
r
Formation of the Arguments from Table III.*

log sin c
9.601621

9.230726
9.190228

0.044402
0.955598

I.

86.12
355.10
359.92
359.98

81.12
X.

127.8

357.4

0.0

0.0

125.2

XIX.

399

63
1

II.

I! 15.54
7.23
0.12
0.03

322.92

XI.

156.0

46.2

0.8

0.2

203.2
XX.

169

75

1

245

HI.

229.42
12.31

0.21
0.05

241.99
XII.
111.5
53.2

0.9
0.2

165.8
XXI.

341

65

1

47

IV.

41.65

2.32

0.04
0.01

44.02

XIII.

28.9
333.2
359.5
359.9

1.5

XXII.

357
9

6

V.
12.71

29.16
0.49
0.12

42.48

XIV.

115

328

359

82
XXIII.

160

321

359

120

VI.

143.30
17.03

0.29
0.07

160.69
XV.
303

338

281
XXIV.

153

56

I

210

VII.

1.S4.9

19.4

0.3

0.1

204.7

XVI.

140

26

166
XXV.

210

78
1

289 '

VIII.

242.1

41.3

0.7

0.2

234.3

XVII.

284

44
1

329

9.979096 n
8.647400 n
9.980276
0.37428 f

IX.

54.4
31.5

0.5

0.1

86.5
XVIII.

255

70

1

326

"The arguments being expressed in degrees and decimals, 363, 720, or 1080 must he suhtracted when one of the sums
greater than one of those numbers.

f

'/'

e

Terms with I
I
11
111
IV
V
\l
VII
VIII

IX

\
\i

All
Mil
A IV
XV

\M
\\ II
AVIII
XIX
\\
XXI
\\ll
\\lll
\ \l\
\X\

f, V, f

+
IBM

634.6

9U

22.2
U

o.a
ii

A3

1.3

330.6
279.4

1 >'-_
:i|.:t

16.8
19.1

IT.:,
9.9
4.8
IU

05

1.3
0.8

0.5

ua&a

DBJ

20a.6

:r,.T
3.8

2.6

4.3
14.7

S3
0.3
4.1

0.2

05
0.8

664.2

830 1

HMU

BJ9.7

26.1

:!.->

6.0
1.6

0.7
1.0

0.6

+

19.0
6.8

1 1 .r.
1.6
4.5

35.9
0.1

4.9
6.3

1.6

sin (.' + r) 253 19 7.1 9.U8i:!-'7
r gin n 0.373082
z 0.3544il'.<

sin (B> + r) 165 8 19.7 9.409050

r sin b (l.:7!>-.'-.'
y 9.746: '7-.>

sin (C'+r) 153 29 30.4 9.6411652

r sin c !'.'.I7.-)902
z 9.625554

y +0.5.V-l::t
V - 399
K :;:;:!
A cos <)' sin a 1 +0.264672 !>. I-J-J7H

z -2.261563
f - 236

X +0.1)38542
A cos d' COB a' -1.323257 0.12l644n

cos a' ii.'.i'.M !-,'
tan a> Kirf 41 21.1 0.301064n

: +0.422-J:tr.
f 7!
Z -0.127-J'.':*
Asinii' +0.294863 !M>
A cos d' 0.1301(i-J
cos &' 9.1te!i-7-,!
tan /,' +12 19 32.2 03394

A 0.140-.': nt

Reduction to the npp. ci|iiiin>x.

;/
/ + 12.24

e i.oo.v,'
<; 16

sin (G' + a') 22(5 r.7 !' -lili-,,
tan d' 9.3395

11 ID:<
-34

I:; -;
75

1517J2
^39

l'.Ui).7
3.5

7:' 1
+

12.8
6.6

co(x t z)? - 247.2
ccw (y, z) J + 6.5

co (:, i) ? + 4.9

f - 235.8

co,(x l9 )f - H.O
eo(yi)?' - 361.5
co. (r, y) C - S6.1

1.62 0.2085*
A o' + 10.62

cos(C' + o') /( !i.SI4-,'

a 168 41 3l'.7
(i +1-J 111 2r..:t

17 - 396.6

co(i,s)f + I:.-.'
co.(y,i),' IV, |

CO. * 1,1 1

- : i

TABLE I .

FOR THE MEAN ANOMALY.

The times are referred to the meridian of Washington.

Years.

M

1

Years.

M

t

18505

168 56 49.43

- 6.99795

1879

/ //

74 3 55.95

+16.00000

1657

274 19 36.82

5.99863

18805

179 43 52.67

17.00205

1858

19 42 14.20

4.99932

1881

285 6 30.06

18.00137

1859

125 4 51.59

4.00000

1882

30 29 7.44

19.00068

18605

230 44 48.31

2.99795

1883

135 51 44.83

20.00000

1861

336 7 25.69

1.99863

18845

241 31 41.55

21.00205

1862

81 30 3.08

- 0.99932

1885

346 54 18.93

22.00137

1803

180 52 40.46

0.00000

1886

92 16 56.32

23.00068

18645

292 32 37.18

+ 1.00205 '

1887

197 39 33.70

24.00000

1865

37 55 14.56 2.00137

18885

303 19 30.42

25.00205

1866

143 17 51.95

3.00068

1889

48 42 7.80

26.00137

1867

248 40 29.33

4.00000

1890

154 4 45.19

27.00068

18685

354 20 26.05

5.00205

1891

259 27 22.57

28.00000

1809

99 43 3.44

6.00137

18925

5 7 19.29

29.00205

1870

205 5 40.82

7.00008

1893

110 29 56.68

30.00137

1S7J

3JO 28 18.21

8.00000

1894

215 52 34.00

31.00068

18725

56 8 14.93

9.00205

1895

321 15 11.45

32.00000

1873

161 30 52.31

10.00137

18965

06 55 8.17

33.00205

1874

266 53 29.70

11.00068

1897

172 17 45.55

34.00137

1875

12 16 7.08

12.00000

1898

277 40 22.94

35.00068

18765

117 50 3.80 13.00205

1899

23 3 0.32

36.00000

1877

223 18 41.18

14.00137

19005

128 42 57.04

+37.00205

1878

328 41 18.57

+15.00068

Month*.

M t

Days.

M

t

, January .

o o o.oo + o.ooooo

1

o / //
17 19.34

+ 0.00274

February

8 56 59.39 * 0.08488

2

34 38.67

0.00548

March

17 2 0.78

0.16154

3

51 58.01

0.00821

April

25 59 0.18 0.24042

4

1 9 17.34

0.01095

May

:!4 38 40.24 0.32850

5

1 26 30.08

0.01369

June

43 35 39.63 0.41344

6

1 43 56.01

0.01643

July

52 15 19.C!) 0.49558

7

2 1 15.35

0.01917

August

(ii 12 19.08 0.58046

8

2 18 34.68

0.02190

September

70 9 18.48 0.66534

9

2 35 54.02

0.02464

October

78 48 58.54 0.74748

10

2 53 13.35 .

0.02738

November

87 45 57.93 0.83236

20

5 46 26.70

0.05476

December

96 25 37.!)!! + 0.91450

. 30

8 39 40.05

+ 0.08214

In Bissextile Years one day must be subtracted from the date in the first two months.

8

TABLE I. Concluded.

FOR THE MEAN ANOMALY.

The limes are referred to the meridian of Washington.

Hours.

M

'

Hours.

M

'

1

43.31

+0.0001 1

13

i n
:> 22.98

+0.00149

1

1 -Jfi.ffl

o.ooo-j:)

14

10 6.28

0.00 ICO

3

2

O.OOOM

15

10 49.59

0.001 7 'J

4

i.v.'-J

0.00046

16

11 32.90

0.00183

5

3 36.53

0.00057

17

12 16.20

0.00195

6

4 19.84

0.00069

18

12 59.51

0.00206

7

5 3.14

0.00080

19

13 42.81

0.00218

8

5 46.45

0.00092

20

ii -ji ;.r_'

0.00229

9

6 2!>.;:.

0.00103

21

15 9.43

0.00241

10

7 13.06

0.00114

n

15 52.7:!

0.00252

11

7 56.37

0.00126

23

16 36.04

0.00964

II

8 39.67

+0.00137

M

17 i!i.:u

0.00275

M

M

For Minutes.

For Seconds.

For Minutes.

For Seconds.

1

o'.72

n
0.01

31

22.37

n
0.37

2

1.44

0.02

32

23.10

0.38

3

2.16

0.04

33

23.82

0.40

4

2.89

0.05

34

24.54

0.41

1

3.61

0.06

35

KJH

0.42

i

4.33

0.07

36

0.43

7

5.05

0.08

37

26.70

0.45

8

5.77

0.10

38

27.43

0.46

9

6.50

0.11

39

28.15

0.47

10

TJU

0.12

40

28.87

0.48

11

7.94

0.13

41

99.60

0.41)

13

' ' ;

0.14

40

30.31

0.51

13

9.38

0.16

43

31.03

0.52

14

10.10

0.17

44

31.76

0.53

15

10.83

0.18

M

39.48

0.54

16

11.. V.

0.19

46

33.10

0.56

117

12.27

0.20

47

33.91

0.57

18

0.22

1-

34.64

0.58

19

111.71

0.23

40

36.37

0.60

90

14.43

0.24

50

36X19

0.60

16.10

0.25

61

:u;>i

0.61

M

K. --

"..'

M

37.83

0.62

S3

0.28

53

O.C4

N

0.29

r.4

:',-.: 17

0.65

;-.

0.30

K

30.70

0.66

'

0.31

40.41

0.67

'- :

0.32

69

41.11

0.34

41Jt

0.70

,.

0.35

1 1

0.71

M

GO

43.31

0.72

TABLE II.

FOR THE

CORRECTION c TO BE ADDED TO THE AUXILIARY ANOMALY '.

Argument = Jlf. For M > 180 the Argument is 360 M, and the sign of c is to be reversed.

Arg.

c

Diff.

Arg.

c

Diff.

Arg.

c

Diff.

Arg.

c

Diff.

o

11

H

'II

ii

O

ii

O

ii

ll

o

0.00

45

+1 13.90

90

- 13.77

135

-109.08

1

+ 4.30

+4.30

46

113.40

-0.50

91

17.62

-3.85

136

108.67

+0.41

2

8.59

4.29

47

112.75

92

21.43

3.81

137

108.14

0.53

3

12.86

4.27

48

111.95

0.80

93

25.20

3.77

138

107.49

0.65

17.11

4.25

49

111.01

0.94

94

28.93

3.73

139

106.72

0.77

5

21.35

4.24

50

109.92

1.09

95

32.63

3.70

140

105.84

. 0.88

6

25.56

4.21

51

108.68

1.24

96

36.29

3.66

141

104.84

1.00

4.17

1.38

3.60

1.11

7

29.73

52

107.30

97

39.89

142

103.73

8

33.85

4.12

53

105.79

1.51*

98

43.44

3.55

143

102.50

1.23

9

37.92

4.07

54

104.15

1.61

99

46.92

3.48

144

101.17

1.33

10

41.93

4.01

55

102.37

1.78

100

50.34

3.42

145

99.73

1.44

1]

45.90

3.97

56

100.45

1.92

101

53.70

3.36

146

98.17

1.56

12

49.80

3.90

57

98.41

2.04

102

56.99

3.29

147

96.51

1.66

13

53.62

3.82

58

9G.24

2.17

103

60.20

3.21

148

94.75

1.76

3.75

2.28

3.14

14

57.37

59

93.96

104

63.34

149

92.89

'

15

61.03

3.66

60

91.56

2.40

105

66.40

3.06

150

90.93

1.96

16

64.61

3.58

Cl

89.05

2.51

106

69.37

2.97

151

88.87

2,06

17

68.10

3.49

62

86.42

2.63

107

72.26

2.89

152

86.72

2.15

18

71.49

3.39

63

83.69

2.73

108

75.05

2.79

153

84.48

2.24

19

74.77

3.28

64

80.86

2.83

109

77.75

2.70

154

82.14

2.34

20

77.96

3.19

65

77.93

2.93

110

80.3G

2.61

155

79.72

2.42

21

81.04

3.08

66

74.90

3.03

111

82.86

2.50

15G

77.22

2.50

22

84.00

2.96

67

71.78

3.12

112

85.26

2.40

157

74.64

2.58

23

86.84

2.84

68

68.58

3.20

113

87.57

2.31

158

71 .97

2.67

24

89.55

2.71

69

65.30

3.28

114

89.77

S.20

159

69.23

2.74

25

92.14

2.59

70

61.94

3.36

115

91.86

2.09

160

66.42

2.81

26

94. GO

2.46

71

58.51

3.43

116

93.84

1.98

101

63.54

2.88

27

90.93

2.33

72

55.02

3.49

117

95.71

1.87

162

60.59

2.95

28

99.12

2.19

73

51.47

3.55

118

97.47

1.76

163

57.58

3.01

29

101.18

2.06

74

47.85

3.62

119

99.11

1.64

1G4

54.51

3.07

30

103.10

1.92

75

44.18

3.67

120

10Q.G4

1.53

165

51.38

3.13

31

104.87

1.77

70

40.47

3.71

121

102.08

1.44

166

48.20

3,18

32

106.50

1.63

77

36.71

3.76

199

103.34

1.26

167

44.97

3.23

33

107.98

1.48

78

) 70

32.92

123

104.51

1.17

168

41.69

3,28

34

109.31

1.33

7!)

29.09

124 105.57

1.06

169

38.37

3.32

35

110.50

1.19

80

25.23

3.86

125 106.50

0.93

170

35.01

3.36

36

111.53

1.03

81

21.36 3 ' 8?

126

107.31

0.81

171

31.61

3.40

37

112.41

0.88

89

17.47

127 108.00

0.69

172

28.18

3.43

38

113.13

0.72

83

13.56

128 108.56

0.56

173

24.72

3.46

39

113.70

0.57

84

9.64

129 109.00

0.44

174

21 .24

3.48

40

114.12

0.42

85

5.72

130

109.32

0.33

75

17 74

3.50

41

114.38

0.36

86

+ 1.80 3 ' 92

131

109.52

0.20

76 | 14.21

42

114.49

+0.11

87

- 2.11 3 ' 91

132 109.59

-0.07

77 10. G7

3.54

43

114.45

-0.04

88

6.01 3 ' 9

133 109.54

+0.05

78 7.12

3.55

44

114.25

0.20

89

9.90 3 ' 89

134 109.37

79 - 3.56

45

+113.90

0.35

90

- 13.77

135 1 -109.08

+0.29

180 0.00

+3.56

COt 4 0'

1 e
= . . cot J M

True Anomaly r = r' + c log . -T-| = 9.959502

r

p

log;, = 0.354557 log , = 8.668304

~ 1 -f- F COS V

II-

10

TABLE 11

I.

FOR TIIK AHCl MENTS.

A. For the different Yean. The times are referred to the

meridian of Washington.

Yean.

t

II.

III

IV.

V VI.

VII.

Mil

l.\

X.

XI.

XII.

XIII.

4

o

o

o

o

o

O

o

o

i-:-;/;

29.54

88849

198.49

7.43 168.95

66.5

9064

265.0

287.1

176.4

44.4 2.-.H.1

i -:,:

874.78

273.51

'.171.97

1-7. -7 -.'7l.:n

186.3

101.4

99.8

271.2

102.2

14.9 84.1

1868

317.1-

286.37

8.30 19.70 306.1

356.9

294.7

9564

28.0

31.-,.:, 278.1

i -:,

2.20

6164

300.77

188.72 1-J5.0.S 65.9

859.4

1994

939.3

313.8

3lli.O II'J.O

i-..'/;

898.18

47.0.-,

138.90

:u.vji

9.65 -j:i.7.-. 186.0

148.5

3944

993. 1

240.4

J-7.1 305.6

1861

91.T8

Ji3.!>r,

329.61

190.08 33li.l-J IW5.7

44.0

169.7

207.4

166.2

958,0

139.5

I -.;_

207.50

136.51

289.00

34441

10.50 M.50

299.5

3544

191.5

92.0

998.5

333.5

I77.]-

1-1.-J3

4.06

:;.-.-. II

190.93 186.88

185.3

1964

189.3

175.6

17.8

199.0

1674

! i- 1/)'

I4C..77

7H.31

12.85

ll.-.i .':'.'. :.l

305.4

91.2

24.7

159.6

304.4

170.5

1.0

i-..-,

in;, ii

J7H.-1

I5I.3T,

27.25

r .<;.> 37.92

054

346.6

9194

143.7

230.2

141.0

195.0

1866

96.19

:u :,.:, i

1146

12.71 143.30

184.9

949.1

54.4

1974

156.0

111.5

38.9

I-..7

040

304.47

56.05

193.14 248.67

304.7

137.G

9494

111.8

81.8

89. 1

999.9

!-..-/,'

45,11

19.79

70.49

14.06 35I.:H

64.8

33.8

84.6

964

8.4

534

56.4

! i860

94.78

94.06

r.'i..-,n 99.79

1844

9994

279.4

80.0

294.2

94.0

250.4

1870

3-JI.73

i :u.5i;

169.83

99.29

1 l.'.i-J -J.I.-..KI

304.4

184.7

114.2

64.0

220.0

354.6

-I.I

1-71

."i.ii

179.29

21 1.--

113.7(1

195.35 310.47 64.2

80.2

309.0

48.1

145.8

395.1

978.4

i-;-.'/;

J-J 1.11

180.14

128.14

16.27 50.14 1-1.:'.

336.4

144.4

39.1

7-.'. 1

-.".Hi.5 111.9

1873

36.19

n.'.:.i

196.71 1C.I..VJ :iii4.l

9314

3394

16.2

358.2

267.1 305.8

1-71

3I3..-.H

iiii.-ji

[KM

17.13 -JIH5.89

63.8

127.4

174.1

0.3

284.0

237. (i 139.S

1875

173.03

i<>.->.>

171.31

19756 12.27

183.6

994

34

344.4

209.8

i 333.8

ienB

14949

4:1.17

ji;o..v,

186.78

18.4^ 117.-.I3

303.7

8794

9044

398.4

136.4

179.C IC.7.3

1877

II -J.-JI

200.19

198.91 223.31

63.5

174.5

39.1

319.6

62.2

150.1 1.3

1878

81.97

n-j.ti-j

81169

l'.i.3l .i-.'-..;;i

183.3

70.0

9334

996.5

348.0

120.7

195.3

1879

SIM

I77.:r,

l-J.-i.7l

l:t'.'.77 7I.H7

303.1

3964

68.7

280.6

273.8

914

99.9

i-- >/;

81.93

WOJM

84843

20.70 I7H.73 C.3.-J

991.7

964.1

964.7

200.4

69.6

999.7

i--i

86743

JOI.I-J '.'-.-,.11 l-.'.'.i

117.1

99.0

JI-.7

126.2

33.9

.Mi. 7

I--.-

n '...-

IIII.IM

35 1.07

97943

,'I..V, 30.111 302.7

I-M;

293.8

939.8

59.0

3.7 -J.-.0.7

l--:

:{.--:.:(-

286.64

-J.il.ii- i:i:..-r. <;>.:,

268.1

1984

216.9

337.8

331.2 -1.7

i--i/;

4143

141.38

3014?

J-J.!MI -J1I..VI l-.'.il

1644

324.0

200.9

964.4

305.7

9784

i---.

91643

31848

J03.33 3IC.1H 302.4

59.8

i:.-.-

185.0

1904

276.2

112.1

:--..

991.48

-':!. 7. ; I.-.'.-.'- .;.'.!

315.2

3634

169.1

116.0

946.7

306.1

1--7

16847

17:.. IM

314.2-

joi. in nc.iii; 1814

JI0.7

i. --..-.

153.1

41.8

JI7.3

140.1

wB

I3-.I7

-.'.-..II 303.33 3ii-J.(l

1064

137.9

398.4

1 .7 333.6

!--..

III-. II

I. v;.-i

18.19

-o.-,..-,| I-.70 614

J.i

218.7

191.3

9544

I.Vi.-J 167.6

I-,,

77. -1

3011.71

j:i - '

8748

: I.-.4.08

181.6

53.6

106.3

1804

l-J'.t..- 1.6

I".H

.

ILU

301.4

1684

9484

89.4

105.8

100.3 1115.5

i - . /;

17.ll-

6846

:..rj

614

in.:,

83.7

7:1.1

32.4

71.7

89.0

MM

346.78

-l.lll

70.71;

-'07.7.-, 110.50

181.3

305.0

9784

:,7.r,

318.2

49.3

993.0

i-<i

3ir,..|::

198.74

17941

-:.. 1 7

-'-.I- -J 15.88

801.0

9004

113.3

114

944.1

12.8

.-,7.0

i-

17. MI,

-.'I7.:ir.

208.61 3-JI. -.:.

064

-'.-,.7

1094

313.3

251.0

i - - /;

JI-.3I

111.01

180.9

369.1

1434

9.7

96.4

311.7

-1.:.

1891

I'.'- II

I7.'.3o 300.1

8474

33.--. 1

3534

894

885.3

978,6

!-,.

.

807.76

M2.7-J

14941

: i;7 no.:,

1 !:;.!

1734

837.9

30S.1

956.8

119.4

;- ..

1-7.77

157.21

Jio.-.' -.M.II:, 1804

384

-.n

3914

9384

306.4

I7l.li.-i

3i.7i i .'-.:.

904.8

203.4

30(1.0

1604

197.8

139.9

11

TABLE III. Continued.

FOR THE ARGUMENTS.

A. For the different Years. The times are referred to the meridian of Washington.

Years.

XIV.

XV.

XVI.

XVII.

XVIII. XIX.

XX.

XXI.

XXII.

XXIII.

XXIV. XXV..

16565

280 221

o

294

103

213 345

O

184

243

126

52

302 81

1857

83 85

99

13

289

17

290

288

185

171

287 202

1858

247

309

264

283

5

48

36

334

244

289

272 323

1859

51

173

68

193

81

79

143

20

303

48

257 83

16G05

214

37

233

104

158

111

250

66

2

167

243 205

1861

17

262

37

14

234

142

356

112

61

286

228 326

18G2

181

126

202

284

310

. f!4

103

158

121

45

213

87

1803

345

350

7

193

26

205

209

203

179

163

197

207

16645

148 214

171 104

103'

237

316

250

239

282

183

329

1865

311 79

336 14

179

268

62

295

298

41

168

90

1866

115 303

140

284

255

299

169

341

357

160

153

210

1867

279

167

305

194

331

330

275

27

56

278

138

331

18685

82

31

110

104

48

3

22

73

116

37

124

93

1869

245 255

274

14

124

34

129

119

175

156

109

214

1870

49 120

79

284

' 200

65

235

164

234

275

94

334

1871

213 344

243

194

276

96

341

210

293

34

79

95

18725

16 208

48 105

353 129

89

257

352

152 65

217

1873

180

72

213 14

69 160

195

302

51

271

50

337

1874

343

296

17 284

145 191

301

348

.110

30

35

98

1875

147

161

182 194 220 222

47

33

170

148 .

19

319

18765

310

25 347 105 297 254

155

80

229

267

5

341

1877

113

249

151 15 13 286

261

126

288

26

350

101

1878

277

113

316

265 89 317

7

171

347

145

335

222

1879

81

338

120

194 165 348

114

217

46

264

320 j 343

18805

244

202

285 105 242 20

221

264

106

22

306

105

1881

48

66 90

15 318

51

327

309

165

141

291

225

1862

211

290 254

285'

34

82

74

355

224

260

276

346

1883

15

154 59

195

110

114

180

40

263

19

261

106

18845

178

18 224

105 187

146

287

87

342

137

247

228

1865

342

243

28

15

263

177

34

133

41

256

232

349

1886

145

107

193

285

339

208

140

178

100

15

217

110

1887

309

331

357

195

55

239

246

224

160

134

202

230

18685

112

195 162

106 132

272

354

270

219

252

187

352

1889

276

59 327

15

208

303

100

316

278

11

172

113

1890

79

284

131

265

284

334

206

2

337

130

157

234

1891

243

148

296

195

5

312

47

3G

249 i 142

354

18925

46

12

101

106 77

38

GO

94

96

7

128

116

1893

210

236

265

16 153

69

166

140

155

126

113

237

1894

13 101 70

286 229

100

272

185

214

245

98

357

1695

177

325 234

196 305

131

18

231

273

4

83

116

18965

340

189 39

106 22 163

126

277

332

122

69

240

1897

144

53

204

16 98 195

232

323

31

241

54

1

1898

308

277

8

266 173 226

338

9

91

39

121

1899

111

142

173

196

249 257

85

54

150

119

24

242

19005

274

6

336

106 326 289

192

101

209

237 9 4

12

TABLE

III . Co n tinned.

FOR THE ARGUMENTS.

It. Variation* of thr Argument* for the different Months. The times are referred

to the meridian of Washington.

M nth.. 1. II.

III.

IV. V VI

VII

VIM.

IX.

000

January IHI 0.00

0.00

0.00 0.00 0.00

0.0

0.0

0.0

February X>7 4'.'

<;:t7

i -- I."i.:i2 - '

III.-.'

21.7

I&6

M:, :i5.vi0 : B

i-' 1:1

-'.:(-' 2i.i(> I7.n:i

1!",4

41.3

:u.r.

April :f.. n."-'

:t:,l ii. IK

99.fi

634)

48.0

M,* 350.03 H7n

:ii,r

47:1 .v.i.:ti :u.(i4

:i'.t,i

-in

64.0

Jim.- :t47.46 18.50

31 JK

:,;ir, rii.i 4:i..v.

r':.

105.7

80.6

Juiv :i44ixi -.-j-.-r

:t7'Ji

7.1:1 99.47 '^.-.H;

.Vl.l

126.7

96.6

August :i!-.>39

rv:i-| 104.7! CI.21

,..-,

1 1- 1

11:1.1

September 1 '77

4!>.!Hi

l-.M.ii 70.16

7!.7

170.1

r.-.i.7

.br :7.32 33.44

:>6.i3

l(l.7:> 134.!>4 7 -..'

89.6 .

191.1

1 ir, 7

N MitM-r :4 .75

I1.K7 l.-.ll-^i -7.77

99.7

212.8

IflU

,,lr 33225

IMIti 11,:, on 'XZtt

109.6

17- -J

Month*. \ M

Ml

Mil \ 1 \ XV.

XVI

XVII.

XVIII.

January "" . ""

0.0

I ,
o o o

0.0

n

o

Februarv -i: 1 -

iW.l

:t|.'..;i 343 348

14

n

37

March :u-,T 1

:.:t.4

:K3.2 :\$38

M

41

70

April :i'.t. 1

-I :.

:iiit.o :ui :i-.>7

-in

ee

109

M

10f.6

us

M

89

149

II-.'

I3U.7

*.<\:.\ -'7:i :?04

(W

119

180

Jul 3521 141.7

277.11 -'Ii4 293

fl

1:14

216

Augu.t I'-."

I:M n

Ji,:i,-. -JI-, -J-l

!ir.

i:,7

253

mber ll'-'

220.0

-.M;I 1 270

inn

180

290

.her 21:1.7

-M7-J

213 -J.V.I

vu

KM

:WG

238.0

221.7 1% '-'47

136

'->-r>

:i

>t..T -''.I ."

m i

180 896

1541

'-'17

39

XXI

XXII. XXIII. XXIV.

XXV

Month. M \ \ \

January (1

o

000

I)

o

II

nary 33

34

:, :i:t:t -jit

41

Marrl,

G:>

;t :!-'! :^i

n

April II'.

1 1

ii-

Mar 1-'- l.'.l

in

III '-'-I 113

i -

m

M

.'i 200 1 1:1

190

July 1 'I

171

Auc

:n

-'7 11

:'.ll

i 19

:tv!n

4-1 160

H9

l r

337

4'.' I.V.I '.>-7

40

II

nit :u:,

-n

In lliMcxtile Yean tubtract one day from the dale in the fin! two months.

13

TA

BLE

I II. Concluded.

FOR THE ARGUMENTS.

C. Variations of the Arguments for the different Days. The times are referred to the meridian of Washington.

Days.

I.

II.

III.

IV.

V.

VI.

VII.

VIII.

IX.

X.

XI.

XII. XIII.

1

o

o

o o

1

359.92

0.12

0.21

0.04

0.49

0.29

0.3

0.7

0.5

0.0

0.8

0.9 359.5

2

359.83

0.24

0.41

0.08

0.99

0.58

0.7

1.4

1.1

359.9

1.6

1.8 359.1

3

359.75

0.37

0.62

0.12

1.48

0.87

1.0

2.1

1.6 ! 359.9

2.3

2.7

358.6

4

359.67

0.49

0.82

0.16

1.98

1.15

1.3

2.8

2.1 359.8

3.1

3.6

358.2

5 359.53

0.61

1.03

0.20

2.47

1.44 1.6

3.5 2.7 359.8

3.9

4.5

357.7

6 35!).50

0.73

1.23

0.24

2.97

1.73 2.0

4.2 3.2 359.7

4.7

5.4

357.3

7 359.42

0.86

1.44

0.28

3.46

2.02 2.3

4.9 3.7 359.7-

5.5

6.3

356.8

8

359.33

0.98

1.64

0.32

3.95

2.31 : 2.6 5.6 4.3 359.6

.6.3

7.2

356.4

9

359.25

1.10

1.85

0.35

4.45

2.60 3.0

6.3

4.8

359.6'

7.0

8.1

355.9

10

359.17

1.22

2.06

0.39

4.94

2.89 3.3

7.0

5.3

359.6

7.8

9.0

355.4

20

358.34

2.45

4.11

0.79

9.89

5.77 6.6

14.0

10.7

359.1

15.7

18.1

350.9

30

35751

3.67

6.17

1.18

14.83

8.66 1 9.8

21.0

16.0

358.7

23.5

27.2

346.3

XV.

Days. 1 XIV.

XVI.

XVII.

XVIII.

XIX.

XX.

XXI.

XXII.

XXIII.

XXIV.

XXV.

1

o

359

o

1

o

1

o

1

O
1

o

1

o

359

o

1

1

o

2

359

359

1

1

2

2

3

2

359

2

3

1!

358

359

1

2

4

3 4

3

358

3

4

4 358

359

2

3

5

4 5

4 1

357

4

5

.-> 357

358

2

4

6

5 6

6 1

357

5

7

13 357

358

3

4

7

6 8

7 1

356

6

8

7 356

357

3

5

8

7

9

8

1

355

7

9

8 356

357

4

6

10

9

10

9

1

355

8

11

9 355

357

4

7

11

10 12

10

1

354

8

12

10 355

356

4

7

12

11 13

11

2

353

9

13

20 340

353

9

15

24

21

26

22

3

347

19

26

30 344

349

13

22

36

32

38

33

5

340

28

40

1). Variations of the arguments for the different Hours. The times are referred to the meridian of Washington.

Hours. I.

II.

III.

IV.

V.

VI.

VII.

VIII.

IX.

X.

XI.

i

XII.

XIII.

1

0.00

0.00

0.01

0.00

0.02

0.01 0.0

0.0

0.0

0.0

o

0.0

o
0.0

2 359.99

0.1)1

0.02

0.00

0.04

0.02 0.0

0.1

0.0

0.1

0.1

0.0

3

359.99

0.01

0.03

0.00

0.06

0.04 0.0

0.1

0.1

0.1

0.1 359.9 :

4

359.99

0.02

0.03

0.01

0.08

0.05 0.1

O.I

0.1

0.1

0.2 359.9

5

359.98

0.02

0.04

0.01

0.10

0.06 0.1

0.1

0.1

0.2

0.2 359.9

6

359.98

0.03 :

0.05

0.01

0.12 1

0.07

0.1

0.2

0.1

0.2

0.2 : 359.9

7

359.98

0.03

0.06

0.01

0.14

0.08 0.1 2

0.2

0.2

0.3 ': 359.9

8

359.97

0.04

0.07

0.01

0-.16

0.10

0.1

0.2

0.2

0.3

0.3 ( 359.8

9

359.97

0.04

0.08

0.01

0.18

0-11

0.1

0.3

0.2

0.3

0.3 359.8

10

359.96

0.05

0.08 :

0.02 !

0.21

0.12 0.1

0.3 0.2

0.3

0.4

359.8

20 1 359.93

0.10

0.17

0.03

0.41 ;

0.24 0.3 0.6 0.4

0.7

0.8 359.6

14

TABLE IV.

PERTURBATIONS OF

THE CO-ORDINATES IN UNITS

OF THE SIXTH DECIMAL.

TV-ruin mnltijilifd with 1. Argument =

M.

Arg.

Diff.

f

Diff.

? Diff.

Arg.

t

Diff.

<

Diff.

{' Diff.

e

o

147 'Kl

0.00

I.',

fit I '2 'M!

-300.90

+13

1

48.07

417. -1

4- 0.19

4-1.04

M

817.90

4- 4.94

4- 5.97

+0.68

1

M.I'.'

8.06

1 17.:,.;

o.

47

;{._).> ,,.)

4.82

-'--.-7

6.06

3

'-.'. 1 7

8.05

117. HP

0.43

-1 l.lll

1-

396,79

4.70

9H9.73

6.14

14.51

4

8.04

||,; ;,|

0.59

1.03

18

4.58

6.21

0.64 '

8.03

145.76

0.75

50

336.78

4.45

6.39

1

8.01

144.86

0.90

-,'.117

51

:uo.(H

4.33

Jll! -7

6.36

16.16

7

.-.l.'.'l

7.99

1.06

1.03

68

344.98

4.30

.'",7. i:>

i;. >;

0.59

8

7.96

41'.' .V.i

1.91

63

4.08

6.49

9

7n.ll

7.94

441.99

1.37

8.10

M

:{.v.'!:! l

3.95

944.40

6.56

16.74

7.91

Mi

6.62

10

1.03

.">.">

:i:,c,.i:i

_.)(- -^

0.54

11

4- 1.68

66

369.81

+ 3.6S

.,.,1 |

f 6.68

I5J

03171

7.83

I.I-'

67

3.53

294.38

J.H

1C.28

13

101. .14

7.79

4:!4.->.'

1.98

1.00

:,-

366.79

3.43

6.77

0.50

14

rw.if.i

9.13

69

3.S9

210.78

6.83

15

IUM

'

i-j '.-.'

9.97

R.19

j-.j .,-

3.17

Ml

16.78

If,

7.64

l'.'7.l'i

9.42

0.99

ill

376.98

3.03

198.98

0.4S

17

7.60

i-j|.- :

9.57

88

379.18

2.91

190.01

18

7.54

199.19

9.71

0.11

03

381.96

i.77

183.01

7.00

17.-.':!

l

117. '.'I

ir.i.-.v,

. -

0.97

iil

384.60

2.64

176.98

7.03

7.41

3.00

2.50

7.07

0.40

90

-l.M.i,-.

-Hi;. -.'I',

06

4387.10

-166.91

t(

4- ..35

li:i.i:i

4- 3.13

7.08

06

4- 2.37

161.80

4- 7.11

17.63

H

'

3.27

0.95

09

391.71

164.67

7.13

0.35

23

3.41

08

fi't -i

2.10

147..VJ

7.15

7.14

" Ml

Ml

8M

1 .'.17

7.17

17.98

27
98

Otl.40

i,VV

9M
.90

6.73

3.64
3.81
3.94
4.06

0.99

70

71
-2

7:t

400.89

lii-.MU

1.84

1.70
1..-.7
1.41

1 -'.V. II

118.71

111.47

7.19

JJU

7.-JI

0.29

18,97

:

'.'l-.l:l

4.19

0.90

7 1

10343

1.30

104.99

7JB

0.25

6.64

4.39

1.11

30
31

.".'1.77

4-6.il
(.46

M

4- 4.44
4.56

0.87

n

77

ioi.-i
(06,86
40C.77

4- 1.05
0.91

- 9C.96

-.1.711

4- 7.26

0.19

33
34

37

.-

.Mill
J7I.I.!

6.96
6.17
6.06

-
1.74

140.19

. -
4.79
4.90
S.OI
5.11

s.sa

5.33

in. 7'.'

0.83

11.. V.

0.80

i _>.:!:,

7-

n

82

-l

108.91

in-. 71

109.11
109.40
M9.63
108^84

0.79

0.53
0.39
0.27
0.13
4- 0.01

76.18
87.88

r,:t.:t:>
40.10
38.85
3149

7.28

tja

7.26

7.95
7.23

1-.7I
0.14

1-.-.-.
0.08

18,93

5.O

5.43

0.11

7.22

41

a

43

II
1.1

.'- -'

ft. 18
4- 5.06

... : ,

4 5.59
S.6I
5.71
S.80
4- 5.*9

0.76

13.11
40.79

-,,

--
-|
90

KNB%4I
109.19

in-.- 1
108.36

- 0.94
0.36
0.48
0.61
- 0.73

- -j l.in
10.09

4- 4.'.'7
4- 11.37 i

4- 7.20
7.18
7.16
7.13
4- 7.10

40.03

I-.'.M;
-0.09

+18.94

15

TABLE IV. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

Terms multiplied with t. Argument = M.

Arg.

P

Diff.

*

Diff.

?

Diff.

Arg.

f

Diff.

T,' Diff.

v

Diff.

90

+407.01

+ 11.37

+18.94

135

+206.52

+278.36

+12.95

91

400.10

- 0.85

18.45

+ 7.08

-0.07

136

261.47

-5.05

282.00 +4 ' 30

-0.7S

92

405.18

0.98

25.50

7.05

137

250.36 5 ' U

280.88 4 ' 22

.10

7.01

*> 17

4 12

93

404.08

32.51

18.87

138

251.19

291.00 4 '

12.23

.21

6.98

5 23

4 03

94

402.87

39.49

0.12

139

245.90

295.03

0.75

95

401.54

.33

46.44

6.95

140

240.08 5 '

298.97

3.94

.44

6.92

5 34

3.86

90

400.10

53.36

18.75

141

235.34 i

302.83

11.48

.56

6.88

5 40

3.77

97

398.54

60.24

0.17.

142

229.94

300.00

0.77

98

396.87

1.67

67.08

6.84

143

224.49

5.45

310.27

3.67

1.78

6.81

5.50

3.59

99

395.09

73.87

18.58

144

218.99

313.86

10.71

1.89

6.75

5.55

3.50

100

+393.20

+ 80.62

0.23

145

+213.44

+317.36

0.80

101

391.19

-2.01

87.33

+ 6.71

140

207.83

5.61

320.76

+ 3.40

2.11

6.66

5 65

3.31

102

389.08

93.99

18.35

147

202.18

324.07

9.91

103

386.86

2.22

100.60

6.61

0.28

148

196.48

S.70

327.29

3.22

o.ea

104

384.53

2.33

107.16

6.56

149

190.74 5 '' 4

330.42

3.13

2.43

6.50

5 79

3.04

105

382.10

1 13.00

18.07

150

184.95 I

333.46

9.09

2.53

6.45

5 83

2.94

106

379.57

120.11

0.32

151

179.12

330.40

0.85

107

376.93

2.04

126.51

6.40

152

173.25

5.87

339.25

3.85

2.74

6.34

5.92

o ?*

106

374.19

132.85

17.75

153

107.33

342.00 "

8.24

109

371.35

2.84

139.13

6.28

164

161.37

5.96

344.05

2.65

2.95

6.23

0.37

5.99

2.56

0.87

110

+368.40

+145.36

155

+155.38

+347.21

111

365.36

- 3.05

151.52

+ 6.16

17.38

150

149.36

-6.02

349.68

+ 2.47

7.37

3.14

6.10

6 06

2.37

112

302.21

157.62

0.41

157

143.30

352.05

0.88

3.S4

6,04

O O7

113

358.97

103.00

156

137.21

354.32 '

3.32

5.98

fi 12

O 17

114

355.05

169.64

16.97

159

131.09 !

356.49 '

6.49

3.42

5.91

6.15

2 07

115

352.23

175.55

0.45

100

124.94

358.56

0.90

3.50

5.85

6.18

1 98

110

348.73

181.40

161

118.76

360.54

117

345.13

3.60

187.17

5.77

10.52

162

112.56

6.20

362.42 1<88

5.59

3.68

5.71

fi.93

1 78

118

341.45

J 92.88

163

100.33

364.20

3.78

5.64

6 26

1 68

119

337.07

198.52

0.50

164

100.07

365.88

0.91

3.86

5.56

6.28

1.59

120

+333.81

+204.08

10.02

105

+ 93.79

+307.47

4.68

3.95

+ 5.49

i fi an

+ 1.49

121

329.86

209.57

0.54

166

87.49

366.96

0.92

4.03

5.42

6.32

1.39

122

325.83

214.99

107

81.17

370.35

4.12

5.35

6.34

1.29

123

321.71

220.34

15.48

168

74.83

371.04

3.76

4.19

5.27

6.36

1.19

124

317.52

225.01

0.57

169

68.47

372.83

0.93

4.28

5.19

6.37

1 ii-;

125

313.24

230.80

170

02.10

373.91

120

308.89

4.35

235.92

5.12

14.91

171

r- ~i 6 ' 39
'

374.90

0.99

2.83

4.42

5.04

0.89

127

304.47

240'.96

0.62

172

49.31

375.79

0.94

4.49

4.96

6 41

0.78

128

299.98

245.95

173

42.90

370.57

4.57

4.88

6 43

129

295.41

250.80

14.29

174

!" ' !*"

30.4 /

377.26

1.89

4.64

4.80

6.44

0.59

130

+290.77

+255.00

0.65

175

+ 30.03

+377.86

0.94

131

280.06

- 4.71

200.31

+ 4.71

176

23.58

- 6.45

34 i + ' 49

4.78

4.64

G. l.~>

1Q

132

981.28

204.95

13.04

177

17.13

378.73 9

+ 0.95

4.85

6.46

29

133

276.43

209.50

-0.69

178

10.67

379.05

0.95

134

271.51

4.92

273.97

4.47

179

+ 4.21

6.46

379.20! ' 18

4.99

+ 4.39

135

+266.52

+278.36

+12.95

180

- 2.25 i "

+379.29

0.00

16

TABLE IV. Continued.

I'KKiTKUATIoNS OF Till: CIM. lililXATKS IN 1XITS

OK 'I'lIK SIXTH DKC1MAI..

Ternn inultijilicit with t. Argiinn-iit =

.V.

Arg.

i Our

*

11, If.

Diir.

Arg.

Diir.

"'

Diir.

Ditr.

o

o

180

- -

-f ^T'.'.'.':'

0.00 '

979.87

+2d0.37

i _'.. >.-,

1-1

"

-0.03

i -0.95

896

977.99

-5.05

976.99

-0.69

I.VI7 '"

0.13

.'.'7

939.90

4.98

971.59

1.41

,,

4.55

i-t

91.63

378.93

- O.'.i:,

998

986.97

13.64

l-l

0.46

878.61

u.:n

0.94

-'J.i

939.07

144

0.4:1

897.46

j:>7 i;i

1.7S

i-<;

6.45

877.66

0.53

1.- 1

931

809.17

4.71

959.81

4.80

1 l.-> i

187

17.11

877.04

0.63

0.94

-' ;,'

4.64

947.99

4.89

188

:i7ii.-ti

0.73

.) j;j

:tn.:ts

348.95

I.T.

189

0.83

'.'.-I

-'.'.4

316.87

4.H

14.01

6.41

0.93

4.41

8.13

190

-Tit

0.93

' !">

-390.98

-"'!' 77

I'M

7:1.11. -*

:!7:i..v>

- 1.03

894.61

-4.33

'; :.:>

- Ml

6.39

:IT-.'.I-.'

.11

:i :;

987

4.96

999.98

15.48

6.37

.33

4.17

.*..;i ;

194

"

.33

0.93

936

j 19

333.04

4.10

916.89

,' ll.ll

8.49

0.54

6.33

.

940

:t i u .-i

4.01

16.09

mi.-i *' 30

:!r,ii.:u

.53

0.91

941

;{(.- |,7

:i. '.<-.'

990.39

5.60

0.50

iii.i-j *"

.63

949

3&9I

3.84

196.63

5.67

.73

3.75

."..7 1

198

1 1 * .:'.*

itoi'i..-,!

943

359.66

188.91

n ;.:>.'

193.64

861.71

.63

.Ml

:t.^;.:i-j

3.66

183.10

6.93

1.99

0.90

:I.;,T

:..-'!

ii. i:.

800

846

-360^9

+ 177.-.'!

881

6.19

9.03

6.49

946

-3.48

n; '17

1 .'

3fi6.66

3.13

\ Wt -- -

3.38

hi.-..-.'l

i;.nj

ii. n

- ;

i !-.:r, '"

948

:!7n D.I

Ml

159.16

6.09

884

. :

i-.i.n. '"

6.07
6.04

851.19

3.31
9.41

9.61

7.87

0.87

-.'.'I

24!)
950
951

376.3S
379.31

3.19
3.09
3.99
9.90

153.00

1 IH..-.1

134.17

(i.i:.
5.91

i, _-
6.34

17.38

0.37

IT.T:.

."-

17-

l-l :

9.71

963

J.M

384.93

9.78

197.78

6.39
0.45

0.39

i

9.90

3.58

C.5I

.'II
819
818

IT

1:1 '- M

816.74
819.16

''< '.-.'

-3.00
3.09
3.19
3.98

1.48
Ml

-

0.83

9.91

0.80

10.71

966

889
861

399.79
396.09

899.48
4014H
403.44
106.98

- >. i;
Ml

3.14
9.04
1.93
1.81
1.69

II t.-->
108:96

I'M. i.l

94.97
98.96
81.48
: 1.66

Ml

6.77
6.83
6.86
6.91

18.07

0.38

is.:!.-,

0.33

18.581

0.17

Ml

n. I-

884

1.58

68.94

6.95

18.76

5.41

i

0.75

1.46

. n

8M

.-.-.

71

-""

.- i 17

-3.93
4.03
4.11

H.'.'l
-4.99

-0.79

-19.95

888

,v.r,

970

419.56
118.66
414.64

-II. -,.:, I

- 1.35
1.93
1.11
0.98
-0.87

f iii.'.i:,
39.93

18.66
+ 11.51

o.w

-7.09
7.06
7.09

-7.15

0.19

i- -;

-0.07

17

KUlfiyEHsiTyj

TABLE IV. Continued. ^^FJ^^^

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

Terms multiplied with t. Argument = M.

Arg.

cl

Diff.

'/

Diff.

P

Diff.

Arg.

tt

3

Diff.

'/

Diff.

? Diff.

o

270

-415.51

+ 11.51

- 18.94

315

-318.07

-303.11

- 13.83

271

416.25

- 0.74

+ 4.33

-7.18

-0.02

316

313.53

+ 5.14

309.00

-5.89

+ 0.72

0.61

7.21

5.26

5.81

272

416.86

- 2.88

317

308.27

314.81

273

417.34

0.48

10.11

7.23

18.90

318

302.89

5.38

320.52

5.71

13.11

274

417.70

0.36

17.36

7.25

+ 0.03

319

297.40

5.49

320.13

5.61

0.76

275

417.94

0.24

24.63

7.27

320

291.80

5.60

331.65

5.52

0.10

7.29

5.71

5.41

276

418.04

31.92

18.93

321

280.09

337.06

12.35

277

418.02

+ 0.02

39.22

. 7.30

0.08.

322

280.27

5.S2

342.37

5.31

0.80

0.16

7.32

5.93

5.21

278

417.86

46.54

323

274.34

347.58

0.28

7.33

6.03

5.10

279

417.58

53.87

18.85

324

268.31

352.68

11.55

0.42

7.33

6.13

4.98

280

^417.16

- 61.20

0.14

325

-202.18

-357.66

0.83

281

416.62

+ 0.54

68.54

-7.34

326

255.94

+ 6.24

302.54

4.88

0.68

7.35

6.34

4.76

282

415.94

75.89

18.71

327

249.00

367.30

10.72

283

415.13

0.81

83.23

7.34

328

243.17

6.43

371.94

4.64

0.87

284

414.19

0.94

90.58

7.35

0.19

329

236.64

6.53

370.47

4.53

.08

7.33

6.63

4.41

285

413.11

97.91

18.52

330

230.01

380.88

9.85

.21

7.32

6.72

4.28

286

411.90

105.23

m

331

223.29

385.16

0.90

.35

7.33

6.81

4.15

287

410.55

112.56

0.95

332

216.48

389.31

.48

7.31

I

6.88

4.02

288

409.07

119.87

18.27

333

209.60

393.33

8.95

289

407.45

.62

127.16

7.29

334

202.03

6.97

397.22

3.89

1.75

7.28

0.29

7,05

3.77

0.92

290

-405.70

-134.44

335

-195.58

-400.99

291

403.81

+ 1.89

141.70

-7.26

17.98

336

188.40

+ 7.12

404.02

- 3.63

8.03

292

401.79

2.02

148.94

7.24

0.35

337

181.20

7.20

408.11

3.49

0.95

2.15

7.2*2

7.27

3.36

293

399.64

156.16

338

173.99

411.47

294

397.35

2.29

163.34 7 ' 8

17.03

339

106.65

7.34

414.08

3.21

7.08

235

394.93

2.42

170.49 5

0.40

340

159.25

6.40

417.75

3.07

0.97

296

392.37

2.56

177.62

341

151.78

7.47

420.09

2.94

297

389.07

2.70

184.71

17.23

342

144.24

7.54

' 423.48

2.79

0.11

298

386.84

2.83

191.76 I'" 5

1

343

136.65

7.59

426.12 S ' 64

0.99 i

299

383.88

2.96

198.77 '' OI

0.45

344

129.00

7.65

428.62

2.50

; 3.09

C.97

7.63

2.36

300

-380.79

-205.74

16.78

I!!')

-121.31

-430.98

5.12

301

377.56

+ 3.23

212.66 ~ 6 ' 92

0.50

340

113.58 + 7 ' 73

O Ol

433.19

1.00

3.37

fi 87

7 7ft

on,

302-

374.19

o rA

219.53

.

347

105.80

435.24 ""

303

370.69

J.OU

220.35 8 ~*

10.28

348

97.97 7 ' 83

437.14 1-90

4.18

304

367.06

3.63

233.11

0.54

349

90.11 7-SG

438.89

1.75

1.02

305

303.30

3.76

239.81

350

82.21 7 ' 9

440.49

1.60

300

359.41

3.89

240.40 ' 6J

15.74

351

74.28 , '' 93

441.93 M '

4.02

fi r >8

- Qfi

307

355.39

253.04 6 '" 8

0.59

353

66.32 i " 96

443.22 i Ka9

1.03

308

351.21

4.15

259.55 6 " r>1

353

- qo

58.33

444.:;,; l A g l

309

346.90 *'"

200.00 i C - 45

15.15

354

50.33 8 ' 00

2.07

4.40

6.37

8.02

0.82

310

-342.50 ;

-272.37 ;

0.64

355

- 42.31

-446.18

1.03

311

338.03 i +

278.08 i ~ 6 ' 31

350

34.27 ; + S ' 4

440.83 -' C7

312

333.38 ! *'"

284.91

11.51

357

26.21 i 8 ' 6

447.31

1.0-1

313

328.00! 4 '' 8

1 Ml

291.00 j 6 ' 15

+ 0.68

358

18.15

447.09 i

+ 1.04

314

323.69

297.13 B ' 7

359

10.08 i 8 ' ?

447.89 ' 2

315

-318.67

+ 5.02

-303.11

- 13.83

300

- 2.01

-447.93 - ' 04

0.00 i

II-

18

TABLE IV .Continued.

I'KHTI KI'.ATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT I.

Ar,.

'

Diff

nr.

C 1

Diff.

Arg.

f

Diff.

/

Diff.

f

Diff.

o

o

1

- 7

+10

+ n

45
46

+603

etc

+13

+ 74
63

-is

+ 10

8

us

5

1

47

089

13

48

14

3

214

43

10

11

48

649

13

34

14

10

4

210

33

,0

49

i .1

13

19

15

881

11

50

665

11

+ 3

16

1 .

V

U

10

11

51

678

11

- 14

17

10

7

1 i

1

- 1

11

52

687

11

31

17

8

203

1

+ 10

11

53

G97

10

49

18

9

804

+ 1

20

n

54

706

9

67

18

10

1

n

8

19

10

+205

+ 31

66

+714

+ 86

11

207

f a

41

+10

56

728

+ 8

106

-20

U

310

3

68

11

11

57

729

7

126

20

10

13

213

3

n

10

58

735

6

147

21

14

BU

I

78

10

59

740

5

168

15

223

1

81

9

10

60

7-ir>

5

189

21

10

16

91

10

61

74'J

4

211

22

17

.' : .

7

100

9

62

768

3

233

23

1-

244

8

lu-

8

10

63

7.M

2

856

23

10

19

888

8

ll!

8

64

755

+ 1

278

22

9

7

23

30

+261

+123

65

+7.V>

-301

21

271

130

+ 7

10

66

7.M

- 1

384

-23

9

22

381

10

137

7

67

753

1

348

94

33

., ,.:

11

143

C

68

750

3

23

24

:. '.

1 1

148

&

10

69

74G

4

804

2:1

9

88

Hf

188

4

70

7 I'.'

4

417

23

26

328

13
13

186

4

71

737

5

111

24

37

:: 1 1

159

3

10

72

731

6

23

8

-'-

162

3

73 '

7-.M

7

y - 23

."

:: -

11

161

1

71

716

8

510

M

+ 1

9

22

30

31

08
396

+ H
IP

+164
164

11

7.-,
76

+707
G97

-10

-5H3
566

-S3

8

32

411

i.i

u

1

.77

687

10

r.77

22

168

1

11

78

676

11

609

...

7

3

663

13

21

4.V,

i

3

90

650

13

en

H

16

4

11

81

14

668

21

7

37

i ,

147

-.

14

20

'-

i -

Ml

6

83

GOG

M

702

90

1 .1

7

10

84

590

16

7'JI

10

6

15

M

17

19

40

+ 1 <,

-t :,7:t

-711)

41

| *

117

9

fkV.

-17

-18

I ;

9
in

10

87

18

77T,

17

f,

14

-

lo

88

519

: i

709

17

44

45

-.''

H
+ 74

-U

+ 10

89
90

500

* l-i

It
-90

808
-.'1

16
-16

+ 5

19

TABLE IV. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS

OF THE SIXTH DECIMAL.

ARGUMENT I.

Arg.

el

Diff.

,/

Diff.

f '

Diff.

Arg.

f

Diff.

5'

Diff.

'

Diff.

o

90
91

+480
460

-20

-824
838

-14

+ 5

135
136

-484
499

-15

-782
769

+13

-7

21

14

]4

13

92

439

852

137

513

ia

756

11

93

418

21

866

14

4

138

526

lo

743

Jo

8

22

13

13

14

94

396

879

139

539

729

oo

12

13

14

95

374

891

140

552

715

96

351

23

902

11

3

141

564

12

702

13

<)

23

10

11

14

97

328

912

142

575

688

98

305

23

921

9

143

586

11

674

14

23

j [

14

99

282

930

3

144

597

660

9

24

8

10

14

100
101

+258
234

-24

-938
945

- 7

145
146

-607
617

-10

-646
C32

+14

102

210

24

952

7

2

147

626

9

618

14

10

103

186

24

957

5

148

635

9

604

14

24

5

9

14

104

162

962

149

644

590

24

4

g

14

105

138

966

+ 1

150

C52

576

10

24

3

Q

14

106

114

969

151

660

562

25

3

7

14

107

89

972

152

667

5-48

24

i

7

14

108

65

973

*

153

674

534

11

109

41

24

974

- 1

154

681

7

520

14

24

7

13

110

+ 17

-974

155

-688

-507

24

Q

6

+14

111

- 7

974

-1

156

694

493

12

24

+ 1

6

13

112

31

973

157

700

480

23

2

g

14

113

54

971

158

706

466

114

77

23

968

3

1

159

711

5

453

13

12

115

100

23

964

4

160

716

5

440

13

116

123

23

960

4

161

721

5

427

13

117

146

23

955

5

1C2

72G

5

414

13

13

118

168

950

5

2

163

730

4

401

13

22

g

4

12

119

190

944

161

734

389

22

7

5

13

120

-212

-937

3

165

-739

-376

13

121

233 "

930

+ 7

166

743

: ~ 4

364

+12

122

254

922

8

167

746

3

352

12

123

. 274

914

8

4

168

750

*

340

12

J3

124

294

~u

905

9

169

754

4

328

12

125

314

20

896

9

170

758

4

316

12

19

10

Q

12

126

333

886

5

171

761

304

14

19

in

Q

12

127

352

876

i

172

764

292

128

370

18

865

11

173

768

4

280

12

129

388

854

11

6

174

771

3

269

11

14

17

11

3

12

130

-405

-843

.

175

-774

-257

131

422

17

831

+12

176

778

-4

246

+11

132

438

1U

819

12

6

177

781

3

234

12

14

133

454

If

807

12

178

784

3

223

11

134

469

15

795

12

179

787

3

212

11

135

-484

- 15

-782

+13

-7

180

-790

-3

-200

+12

-14

20

TABLE I V. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT I.

Ar.

f

Diff.

Diff.

f

Diff.

Arg.

f

Diff.

*

Diff.

c*

Diff.

e

o

1-

181

-790
7U3

-3

-200

i- >

+11

-14

225

HI

-839

- .;.:

+ 6

+466

484

+19

-13

M

796

3

178

ll

H7

6

504

90

183

799

3

166

13

15

Ml

820

7

524

90

13

184

3

IM

11

m

812

8

20

Iff

805

3

143

19

230

804

8

564

90

\-\

4

132

11

U

',':il

795

9

584

20

12

187

Ml

3

120

19

:>:

786

9

604

90

I--

815

3

109

11

233

776

10

19

189

818

3

97

19

15

IM

765

11

643

90

12

3

19

11

90

190
191

--.'I

M

-3

- 85
73

+19

235
236

-754
742

+12

+663
683

+20

r.2

-J7

3

Cl

19

15

237

729

13

702

19

n

193

830

49

19

238

716

13

rai

20

194

633

36

13

239

702

14

741

19

3

24

19

15

240

687

IS

760

19

10

196

- : i

- 11

13

Ml

672

15

779

19

197

842

3

+ 2

13

242

G5G

16

797

18

198

Mi

3

16

14

15

Ml

17

815

,8

10

199

847

89

Jii

V

17

833

18

3

14

18

18

200
201

Ml
j i

-850
Ml
MI

-,..,

-3

9
3
9

+ 43
57
71

+14
14
14
14

15
15

245

Ml

JI7

Ml

Ml

-604
585
565
545
Ml

+19
90
90
90

+851
863
-1
900
916

+17
16
16
16

9

a

M

IM

503

99

:i:u

15.

1 :

-..,

-J

1

130 ;

145 '*
161

15

Ml

m

481

459
4:!0

99
93

946
960

15
14
13

7

-

- :

177

.-.-.I

412

94

n

210

211

-, ,

1
-1

1C

; +'

15

Ml

-388

303

94

fin-*

lllll'.l

is

+ 19

6

212

-,,,

9i

1019

10

-.,,

U

Ml

96

in-.".)

10

5

.II

-.'

41

HI

1036

9

- :

1
1

Ml

14

M '

m

97
97

1040

8

7

4

'.'17

Ml

97

7

- i

i

tii "

178

27

1000

HIM; "

19

14

,-t.i

150

1071

3

3

It

M

n

M

-j

-,.
Ml

43

4
4

. M

1*

.

14

M
Ml

-122

M

+99

+ 1(174
1(177
I07H

3

+ 3
9

2

M

-i-
-ii

4
44

Iff

. . ,

.- 8

...,

ton

1081

1

. ! .

-^^ _^^____

-

-13

270

+ 21

+99

- 1

- 1

21

TABLE IV. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT I.

Arg.

b

Diff.

,/

Diff.

f

Diff.

Arg.

f

Diff.

,/

Diff.

*

Diff.

\

O

o

270

+ 31

+1080

- 1

315

+778

+259

+10

271

50 +3U

io/a

- 2

316

" 774

4

235

-24

29

3

5

23

272

79

1075

317

769

212

273

107

28

1071

4

318

764

5

189

23

10

29

5

7

23

274

136

1066

319

757

166

28

5

7

22

275

164

1061

320

750

144

29

7

g

21

276

193

1054

+ 1

321

742

123

10

28

g

g

SI

277

221

1046

322

733

102

28

10

20

278

249

1038

'

323

723

82

27

10

10

19

279

276

1028

2

324

713

63

11

27

11

11

19

280

+303

+1017

325

+702

\$ 44

281

330

+27

1006

-11

326

690

-12

26

-18

26

]3

12

17

282

356

-993

3

327

678

+ 9

11

26

13

13

16

283

382

980

328

665

- 7

25

14

14

16

284

407

966

329

651

23

25

15

14

14

285

432

951

4

330

637

37

11

24

16

14

14

286

456

935

331

623

51

24

17

15

13

287

480

918

332

608

64

23

18

15

12

288

503

900

4

333

593

76

11

OQ

18

15

11

289

525

882

334

578

87

21

19

16

10

290

+546

+ 863

335

+562

- 97

291

567

+21

843

-20

5

336

547

15

106

9

11

20

21

16

g

292

587

822

337

531

114

19

21

16

8

293

606

801

338

515

122

18

22

16

6

294

624

779

6

339

499

128

11

17

22

16

6

295

641

757

340

483

134

17

23

16

4

296

658

734

341

467

138

15

23

16

4

2i>7

673

711

7

342

451

142

11

*

14

24

16

3

298

687

687

343

435

145

299

701

14

663

24

344

419

16

146

1

13

24

15

- 1

300

+714

+639

. , 7

345

+404

+147

11

301

725

+ 11

614-

-25

. 346

389

-15

147

11

26

15

+ 1

302

736

588

347

374

146

303

745

9

g

563

25
25

8

348

360

14
14

145

1
3

11

304

753

538

349

346

142

305

761

8

512

20

350

333

13

139

3

c

26

13

4

306

767 j

486

9

351

320

135

11

307

772

5
5

460

26
25

352

307

13
12

130

5
5

308

777

435

353

295

125

309

780

3

409

26

9

354

284

11

119

6

11

2

25

11

7

310
311

+782
783

.+ 1

+384
35S

-26

355
356

+273
263

-10

-112
105

+ 7

312

783

. 333

25

10

357

254

9

98

11

313

783

308

25

358

246

8

90

8

314

781

- 2

283

25

359

238

8

81

9

315

+778

- 3

+259

-24

+10

360

+231

7

- 72

+ 9

+u

22

TABLE

I V . Co n tinned.

PERTURBATIONS OF

THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

AR(.i Mi:vr n.

Arg

f

Diff.

Diff.

P

Diff.

Arg.

Diff

n'

Diff

C

Diff.

o

o

1

-"
856

-

-360
344

+18

+39

45
46

-850
844

+ 6

+397
413

+16

+26

B

- .-

8

337

17

47

837

7

428

H

1

868

311

18

29

48

830

7

4-12

14

M

4

873

5

BM

17

49

823

7

457

15

5

878

A

V77

17

50

815

8

471

14

6

5

MO

17

30

r.i

808

7

486

15

7

887

Jl:l

17

800

8

500

14

8

891

4

MO

17

53

791

9

ol-l

14

1

4

309

17

30

M

783

8

13

22

4

17

9

14

10
11

903

-Ul

17:,

+17

55
50

-77-1
703

+ 9

+541

+13

u

13

906
909

3

158
140

17

18

31

57

58

750
747

9
9

507
580

13
13

21

14

911

133

17

59

737

10

603

13

II

16

913
915

105

88

18
17

31

GO
01

7 -.'7
717

10

10

605
017

13
13

19

17

917

.

71

17

*

02

707

10

13

18
19

930

i

53

30

18
17

31

63
04

686

10

11

041

an

13
11

18

80

n

23
34

+931
931
BM

i

-1

+1

- J8

- 1
+ 16

j

68

18

+17
17
18
17
17

31
31

M
M

n

-G75
664

an

641

629
617

11

+11
11

13
13
13

+063

C7I

086

706

11

+11
11
11
10
10

1C
1C

87

21

MB
BIB

1
1

86 1

120
1:17

18

17
17

30

71

7::
74

:.-!
BM

13
19
13
13

796

7ir,

754

10
9
10
9

13

1

17

30

-Ml

+ IM

0. -

...

13

.-

:
34

BM

:".-.
.

+8
3
3
1

171

IM
MB

+17
17
17
17

39

M

7 -

BM
BU

+ 13
13
U

13

771

7-7

+ 9
8
8

12
10

.
I

-.,

...

18

- )

i- i

14
14

796

;

37

4

18

'

- 1

17.>

J4

-

6

16

M

Ml

BIO

'

1

18
16

-i

-117

CM

M
14

7
6

7

40

-:-

+'iri

14

6

41
43
43

-,.-

+5
i
1

n

:u,7

16
16

27

87

-419

405

BM

+14

U
II

.-n

-17

+ 6
6

"

*

M

11

:i7.i

14

j

43

_

+96 >

.

-

*' 1

1

414

'-I.I

+ 4

+ 4

23

TABLE IN. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT II.

Arg.

'

Diff.

I 1

Diff.

*

Diff.

Arg.

f

Diff.

i'

Diff.

*

Diff.

O

O

90

-346

+861

+ 4

135

+356

+802

-12

91

331

+15

866

+5

136

371

+15

795

+ 7

15

4

14

7

92

316

870

137

385

788

15

4

14

7

93

301

874

2

138

399

781

13

94

285

16

878

4

139

414

15

774

7

15

3

14

g

95

270

881

140

428

766

15

3

14

g

96

255

884

+ 1

141

442

758

14

97

239

16

887

3

142

456

14

750

8

15

2

13

g

98

224

889

143

469

742

1A

2

14

g

99

208

891

- 1

144

483

734

U

16

2

13

9

100

-192

+893

145

+496

+725

101

177

+15

895

+2

146

510

+14

717

- 8

16

2

13

9

102

161

897

2

147

523

708

14

103

145

16

898

1

148

536

13

699

9

IG

1

12

10

104

129

899

149

548

689

16

a

13

9

105

113

899

3

150

561

680

15

106

97

16

900

+1

151

573

12

670

10

1 R

o

13

9

107

81

JO

900

152

586

661

15

i

12

10

108

66

899

4

153

598

651

15

16

o

12

10

109

50

899

154

610

641

16

l

12

11

110

- 34

898

155

+622

+630

111

18

+16

897

-i

6

156

633

+11

620

-10

16

16

i

11

11

112

- 2

896

157

644

609

16

i

12

10

113

+ 14

895

158

656

599

16

2

11

11

114

30

893

7

159

667

588

16

16

O

10

11

i 15

46

891

160

677

577

110

62

16

889

2

161

688

11

565

12

16

3

10

11

117

78

886

8

162

698

554

16

16

2

10

11

118

94.

884

163

708

543

16

3

10

12

119

110

881

164

718

531

16

3

10

12

120

+126

+878

9

165

+728

+519

16

121

142

+ 16

874

-4

.166

737

+ 9

508

11

122

157

15

871

3

107

746

9

496

12

123

173

16

867

4

9

168

755

9

484

12

17

124

189

16

863

4

169

764

9

471

13

185

204

15

858

5

170

77'3

9

459

12

126

330

16

854

4

10

171

781

8

447

12

17

127

235

15

849

5

172

789

8

434

13

128

251

16

844

173

797

8

422

12

139

266

15

838

11

174

804

7

409

13

17

15

5

8

13

130

+281

+833 ;

175

+812

+396

131

296

+15

827

-6

176

819

+ 7

383

13

132

311

15

821

6

12

177

826

7

370

13

17

133

326

15

815

6

178

832

6

357

13

134

341

15

809

6

179

838

6

343

14

135

+356

+15

+802

7

-12

180

+844

+ 6

+330

13

-17

24

TABLE IV. Continued.

PERTl KliATIONS OF

TIIF. CO-ORDINATES IX UNITS OF THE SIXTH DECIMAL.

ARGUMENT II.

Ar,

.

Diff

<'

Diff.

9 Diff.

Arg.

t

Diff.

Diir.

i' Dill".

180

+844

-1-330

-17

o

-i

-!!-,

-20

181

850

+6

31G

14

996

833

7

-14

Ifl9

13

997

B97

6

343

14

861

6

14

1-

99B

820

7

14

20

184

999

813

7

871

14

186

14

230

800

7

14

875

14

18

931

790

7

899

14

90

1-7

23g

791

8

413

14

188

884

4

H

14

933

8

42G

13

189

-r

j

1-

234

77:,

8

440

14

20

4

14

9

13

190
191

+891
894

+3

4-199

17-

-14

+798

758

- 8

-463

4G7

-14

- 'T

|64

18

237

749

480

90

193

899

149

938

740

9

493

13

194

136

930

731

9

50G

994

ttl

I-

240

721

10

519

13

20

196

.I,

Mr,

941

712

9

539

13

907

242

70-2

10

12

.VI 1

1 -

| -

19

243

699

10

557

90

199

,,,

63

944

11

11

..,,,
M

+910
910
911

1

-fl

34

n

li

-14
15

19

946
946

247

+G71
GGO
649

10

-11
11

-581
593
606

13

-n

19

.' :

1111 ;

+ 4

1 1

94S

11

617

'.' !

906

1 :

j

.,.,

m

i

904

1

1
1

- 10
54

14
14

I'.i

in

949

-''.I
969
953

11
616

i;o:i

11

,3

640

663
674

('-:,

n

n
n
n

19
10

-j

15

-

211

900

- >i

II:!
149

-13
14
II
II

19

956

13

.-,17

706
716

7 '-'t i

n

-10
10
10

(8

- '!

...

4

- '

171

186

II

14

l.'p

in

I'M ' 3

-.77

464

I 1

736
74.i
755

7;r, 10

17

4

II

'./(>.!

11

771
1

16

m
m

. '
,

-U
14

997

14

M

-7:n

-

1
1

n;

M

-1

^ .^-^_

301

^ ^ ^ ^

M
-14

-90 1

MI . i

i -

BIO

.i

8

- 7

-16

25

TABLE IV .Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT II.

Arg.

f

Diff.

'/

Diff.

f

Diff.

Arg.

f

Diff.

'

Diff.

n

Diff.

o

o

270
271

+351
337

-14

-831
839

-8

-15

315
316

-346
360

-14

-884
878

+6

+ 7

272

322

15

846

7

317

375

15

872

6

27?

307

15

853

7

14

318

390

15

866

6

9

274

292

15

859

6

319

404

14

859

7

275

277

15

866

7

320

419

15

852

7

276

262

15

872

6

13

321

433

14

845

7

10

277

247

15

877

5

322

447

14

837

8

278

234

15

883

6

323

461

14

829

8

279

216

16

888

5

12

324

475

14

821

8

12

15

5

13

8

280
281

+201
186

-15

-893

898

-5

325

326

-488
502

-14

-813

804

+9

282

170

16

903

5

10

327

516 '

14

795

9

14

283

154

16

907

4

328

529

13

786

9

284

139

15

911

4

329

542

13

776

10

285

123

16

914

3

9

330

555

1 1

766

10
ift

16

286

107

16

918'

4

331

568

lo

756

1U

287

92

15

921

3

332

580

12

745

11

16

3

13

10

288

76

924

8

333

593

735

17

289

00

16

926

2

334

605

12

724

11

16

2

12

12

290

+ 44

-928

335

-G17

-712

291

28

-16

930

-2

6

336

629

-12

701

+11

19

15

12

12

292

+ 13

932

337

641

689

293

- 3

16

933

1

338

652

11

677

12

294

19

16

934

1

5

339

664

12

665

12

20

16

1

11

13

295

35

935

340

675

652

296

51

16

9I!5

341

686

11

640

12

16

10

13

297

67

935

3

342

696

627

22

298

82

15

935

343

707

11

614

13

16

Q

10

14

299

98

935

344

717

600

16

+1

10

13

300

-114

-934

- 2

345

-727

-587

23

301

130

-16

933

+1

346

737

-10

573

+14

16

2

10

14

302

146

931

347

747

539

303

161

15

930

1

348

756

9

544

15

25

Ifi

2

9

14

304

177

928

349

765

530

305

193

16

925

3

350

774

9

515

15

15

Q

9

14

306

208

923

+ 2

351

783

501

26

307

224

16

920

3

352

791

8

486

15

308

239

15

916

4

353

799

8

470

16

309

255

16

913

3

3

354

807

8

455

15

27

15

4

8

15

310

-270

-909

355

-815

-440

+5

g

+16

311

285

904

356

823

424

312

301

16

900

4

5

357

830

7

408

16

28

15

5

7

16

313

316

895

358

837

392

314

331

15

890

5

359

843

6

376

16

315

-346

-15

+884

+6

+ 7

360

-850

-360

+16

+29

H-

26

TABLE IV .Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT III.

Arg

f

Diff.

Diff.

C

Diff.

Arg.

f

Diff.

*'

Diff.

9

Diff.

o

+312

- 84

- 2

o
45

+ 28

4476

1

316

' + 4

72

+19

46

17

-11

- l

3

19

n

O

2

319

60

47

+ 6

J7-.'

3

:i->-j

3

47

13

48

- 5

ll

270

2

*

19

11

3

4

324

H

49

16

267

|

5

1

23

19

50

27

ll

264

3

- i

6

HI

1

- 11

19

51

38

11

261

3

7

:;_:

+ 1

+ 2

13

52

48

10

257

4

IS

10

A

8

'"','7

14

53

58

253

9

M

1

27

13

54

68

10

248

5

1

19

9

5

10

+325

+ 39

2

55

- 77

+243

11

HI

- 9

51

+19

56

87

-10

238

^ 5

12

321

9

63

19

57

96

9

232

6

13

318

3

75

19

58

104

8

226

6

14

314

4

87

19

59

113

7

220

C

15

311

3

99

19

GO

It!

8

213

7

i

16

306

5

110

11

Gl

128

7

206

7

17

301

6

121

11

62

135

7

199

7

18

296

132

11

63

142

7

192

7

19

290

6

143

11

64

149

7

184

8

7

10

6

7

30
21

m

276

- 7

+153
163

+10

2

H
66

-155
161

- 6

+177
169

- 8

22

7

173

1

67

166

5

161

8

23

261

182

68

171

&

153

8

94

253

I'M

69

17G

5

144

9

H

245

200

9

70

180

*

136

8

i

236

208

8

71

183

3

128

8

R)

9
10

KM

8
7

72

187

4

119

9

H

217

'.'.' I

73

190

111

8

H

HI

10

230

7

74

. 192

9

102

9

10

6

9

8

30

10

MM

2

::.

-I'.U

+ ''I

31

187

242

n

IM

- 9

86

- 8

32

191

10

Jl-

77

198

9

77

9

33

166

.'" :

78

IM

- 1

GO

8

34

IM

n

79

IM

n

8

:;-,

143

HI

80

IM

8

2

H

11

HI

81

|T,

45

8

37

121

19

HI

-j

37

8

109

II

-'71

83

IM

+ 1

H

8

39

98

273

84

191

1

22

7

19

9

1

8

40

. -,.

11

- 1

-;,

-196

+ 14

41

* '

-f,

r.'i

+ 9

+ 7

- 7

42

-7

IM

9

7

43

:.i

>

i- .

3

- G

6

44

40

19

-'.i

187

9

13

7

1.',

n I

l-l

+ 3

- in

- 6

- 2

27

TABLE IV. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT III.

Arg.

f

Diff.

*'

Diff.

P

Diff.

Arg.

Diff.

Diff.

*

Diff.

90

-184

- 19

- 2

135

- 11

- 59

91

181

+ 3

25

- 6

136

9

+ 3

57

+ 2

92

177

4

31

6

137

8

1

55

a

93

173

4

37

6

138

7

l

53

a

94

170

3

42

5

139

7

50

3

95

166

4

47

5

140

6

l

48

a

96

162

4

52

5

141

6

46 .

a

5

5

.f. 1

\

97

157

57

142

5

45

98

153

4

61

4

143

5

43

a

99

149

4

65

4

144

5

41

a

5

4

a

100

-144

- 69

2

145

5

- 39

101

140

+ 4

72

n

146

5

38

+ i

102

135

5

75

3

147

6

- 1

36

a

103

130

5

78

3

148

6

35

i

104

125

5

81

3

149

7

1

34

i

105

120

5

83

a

150

7

33

i

+ 1

106

115

5

85

a

151

8

1

32

i

107

no

5

87

a

152

8

31

i

108

105

8

88

i

153

9

1

31

109

100

5

90

a

154

10

I

30

i

5

i

110

- 95

- 91

2

155

- 10

- 30

111

90

+ 5

92

i

156

11

- 1

29

+ l

112

85

5

92

157

12

1

29

113

80

5

92

158

13

1

29

114

75

5

92

159

14

1

30

- 1

115

71

4

92

160

14

30

2

116

66

5

92

161

15

1

31

1

117

62

4

91

+ 1

162

16

1

31

118

57

5

91

163

16

32

1

119

53

4

90

1

164

17

1

33

1

4

1

1

120

- 49

- 89

2

165

- 17

- 34

121

45

+ 4

87

+ 3

166

18

- 1

35

- 1

122

42

3

86

1

167

18

36

1

123

38

4

84

a

168

18

37

1

124

35

3

S3

i

169

19

- t

39

a

125

32

3

81

a

170

19

40

i

3

126

29

3

79

a

171

19

42

a

2

2

-f- 1

2

127

27

77

172

18

44

128

24

3

75

a

173

18

46

a

129

22

a

73

a

174

17

1

47

i

3

a

2

.

130

- 19

- 71

- 1

175

- 17

- 49

i

131

17 .

+ a

68

+ 3

176

16

+ 1

51

- a

132

15

a

66

a

177

15

1

53

a

133-

14

i

64

a

178

14

1

55

a

134

12

a

62

o

179

13

1

57

2

135

- 11

+ i

- 59

+ 3

180

- 12

+ 1

- 59

- i

+ 4

TABLE IV. Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT III.

Arg.

C

Diff.

'/

Diff.

f

Diff.

Arg.

f

Diff.

"'

Diff.

f

n, ir.

o

i-

- 12

- 59

+ 4

225

+117

181

10

+ a

61

- a

H6

118

+ i

+ 6

+ 6

I--J

8

a

63

9

227

118

11

5

I- :

6

65

a

228

118

17

6

184

4

66

v.'v!'. i

118

23

G

I-:.

- 2

68

.>:!(>

118

0.

29

6

+ 3

i-.;

70

;

231

117

- 1
o

35

6
6

187

+ 2

71

839

147

41

188

5

3

73

a

233

116

1

47

6

189

7

1

71

i

234

114

2

53

6

3

i

2

G

190

+ 10

- 75

5

235

+112

+ 59

1 u

.:. +3

76

~~

236

110

- 2

65

+ 6

1 -.-

16

77

237

108

a

71

G

193

3

78

238

106

3

77

6

UM

3

7:i

239

102

3

83

6

196

26

80

240

99

3

89

G

2

196

29

o

24'l

95

4

94

5

197

33

M

242

n

4

100

6

198

36

o

243

87

4

105

5

199

40 1 4

N

-.'II

82

5

110

5

4

+ i

5

6

200

+ 44

70

5

245

+ 77

+ 1 Hi

+ 3

o

+ 5

201

47

79

246

72

121

51

78

+ i

247

66

6

126

5

M

4

77

1

248

61

5

130

4

204

4

76

i

249

55

6

135

5

205

74

a

250

48

7

tag

4

+ 1

M

7'.'

a

251

42

6

143

4

207

70

71

i

0M

:tr,

7

146

3

n

74

1,1

a

863

28

"

150

4

209

77

66

3

254

21

7

153

3

4

3

7

3

-.'Hi

+ 81

- 63

4

KB

+ 14

+ l.~>ii

.'II

84

+ 3

61

+ a

BM

+ 7

7

UH

+ 2

212

--

4

58

3

- 1

8

160

a

21.1

91

3

54

we

8

7

9

214

94

3

51 \

16

8

Kilt

i

ni

97

3

.7

260

24

8

164

i

210

100

3

43 :

M

32

8

166

1

217

103

3

4

._), ,._,

40

8

166

+ i

Jl-

105

1

4

.'r,:t

1-

8

166

219

108

3

30

164

8

MB

- 1

1

5

9

M

+110

H

+ 4

MB

i;.i

+ 165

111

+ 9

21

+ 4

168

7:t

- 8

163

2

113

1

16

4

m

81

8

UN

1

223

111

a

10

6

-

160

9

m

II'-,

i

5

!>7

1

m

9

::

+117

+ i

.'M

106

- 8

+ I.V,

- 3

29

TABLE IV . Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT III.

Arg.

*

Diff.

,'

Diff.

f

Diff.

Arg.

*

Diff.

r/

Diff.

v

Diff.

270

-105

+155

o

315

-145

-209

271

113

- 8

152

316

136

+ 9

217

- 8

272

121

8

149

317

127

9

224

7

273

129

8

145

318

117

10

230

6

274

136

7

141

4

319

107

10

237

7

275

144

8

136

. 5

320

97

10

242

5

- 1

276

151

7

131

5

321

87

10

248

6

277

158

7

126

5

322

76

11

253

5

278

165

7

120

323

65

11

258

5

279

172

'

114

324

53

12

262

4

6

6

-

11

3

380

-178

+108

325

- 42

-265

261

184

- 6

101

- 7

326

30

+12

268

- 3

282

190

C

94

7

327

18

12

271

3

283

195

5

87

7

328

- 6

12

273

2

384

200

5

79

8

329

+ 6

12

275

2

285

205

5

71

8

330

18

12

276

1

1

266

209

4

63

8

;{;>(

31

13

277

- 1

287

213

4

55

8

332

43

12

277

286

217

4

46

n

333

55

12

276

+ !

289

220

3

37

9

334

68

13

275

1

3

9

12

1

290

-223

+ 28

335

+ 80

-274

291

226

- 3

18

-10

336

92

+12

272

+ 2

292

228

2

+ 9

9

337

105

13

269

3

1

10

12

3

293

229

1

338

117

. 266

294

230

1

10

9

339

129

12

262

4

235

231

- 1

20

10

340

141

12

253

4

2

296

231

30

10

341

152

11

253

5

297

231

40

10

342

164

12

248

5

298

230

+ 1

50

10

343

175

11

242

6

299

229

1

61

11

344

186

11

236

6

2

10

11

6

300

-227

- 71

- 1

345

+197

-230

301

225

+ 2

81

-10

346

208

+11

223

+ 7

3

10

10

g

302

222

91

347

218

215

303

219

3

101

10

348

227

9

207

8

304

215

4

111

10

349

237

10

198

9

305

211

4

121

10

350

246

9

189

9

2

306

207

4

131

10

351

255

9

180

9

307

202

5

140

9

352

263

8

171

9

308

196

6

150

10

353

271

8

161

10

309

190

6

159

9

354

278

7

151

10

6

9

7

11

310

+184

-168

-1

355

+285

-140

+ 7

g

+ 6

+11

311

177

177

356

291

129

312

170

7

185

8

357

297

6

118

11

313

162

8

194

9

358

302

5

107

11

314

154

8

202

8

359

307

5

95

12

315

-145

+ 9

-209

7

360

+312

+ 5

- 84

+11

- 2

30

TABLE IV. Continued.

PEinTUMATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT IV.

.

Arg.

i' Diff.

/' Diff.

V

Diff.

Arg.

f

Diff.

*'

Diff.

{' Diff.

o

-378

+ 4

180

+376

+ 85

- 4

5

884

*

52 +33

185

382

+ 6

52

-33

10

887

- 3

- 1- **

5

190

386

+ 4

+ Iri

34

5

15

387

+ 16

34

198

386

- ir,

33

91

384

+ 3

50

34

5

200

888

- 3

48

34

5

96

379

9

83

33

906

:i77

6

82

33

30

370

9

110

33

5

210

889

8

115

33

5

35

19

148

39

916

358

11

146

31

40

344

14

179

31

B

990

844

14

177

31

r

45

327

17

lOg

99

986

327

17

200

29

19

98

19

28

50
55

- MM
286

+236

+96

+ 4

230
986

+308

287

-21

960

-26

-4

60

262

"I

24

4

940

963

24

984

24

4

iCIO

96

806

99

946

937

26

806

70

m

96

327 .'!

3

950

210

27

896

M

. (

179

844

ii

956

181

343

17

80

85

148

117

31
31

358
370

14
19

:!

980
986

160

118

31
32

368
360

IS
11

3

90

84

378

9

970

86

ft

378

9

9

H

51

384

-'7:,

53

33

385

7

34

+ 3

34

3

100
105

- 17
+ 1C

+33

+387

+ 1

280
986

+ 1!)

-34

388

i

110
116
120
MB

130

50
83

111!

147

17-

33
33
31
31

384
878

358
844

3
6
9
11
14

- 1

290
906
300
806

310

18

82
118

146

177

33
34
33
31
31

386
380
871
860
345

+ 3
5
9
II
IS

1)

4. 1

IX

140
145

207
234

97

327

19

998 "

2

816

890

896

-'(17
936
961

30
28

H

898
800
988

17
19
11

a

150
IM
160

17"

178

01

:r.

.

19
17
14
18
+ 8

236

180
148

117

. -".

94

-96

.

31

-w

-:i
:t
4

- 4

ii i

.la.'.- --a

886
848
846

866

880

807
890
843

880

94

-99

19
17
15
11
- 9

^rr =^

-464

938
910

l-i
150
118

-'.

M

+26

-'-

M

32

:t
4

+ i

^ ^

31

TABLE IV .Continued.

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT V.

Arg.

f

Diff.

' Diff.

c'

Diff.

Arg.

f

Diff.

','

Diff.

f<

Diff.

-312

+ 61

-0

+180

+344

- 74

+ 6

5

310

oc I -26
So I

185

349

+ 5

42

+32

10

317

+ 9

26

6

190

352

+ 3

- 10

32

6

15

317

- 18

27

195

351

- 1

+ 22

32

20

315 i

44

26

6

200

348

3

54

32

6

25

310 1

70

26

205

341

7

86

32

30

304

95

25

5

210

331

10

116

30

5

35

296

o

120

25

215

319

12

146

30

40

285

11

145

25

5

220

304

15

174

28

5

45

273

12

169

225

286

18

200

26

14

22

20

25

50
55

-259
243

+16

-191
213

-4

230
235

+266
244

-22

+225
248

+23

+ 4

CO

225

18

21

234

4

240

220

24

268

20

4

65

205

20

253

245

194

26

286

18

70

183

22

270

3

250

167

27

301

15

3

75

100

23

286

255

139

28

314

13

80

130

24

300 i

2

200

111

28

324

10

2

85

110

26

312 j

205

81

30

331

7

90

83

27

322

-1

270

51

30

335

4

+ 1

95

55

28

329

275

+ 21

30

337

+ 2

28

5

29

- 1

100

- 27 |

-334

280

- 8

+336

105

+ 3

+30

337 3

285

37

-29

333

- 3

110

33

30

337

+ 1

290

65

28

327

6

- 1

115

62

29

334

+ 3

295

93

28

318

9

120

92

30

329

5

2

300

119

26

308

10

2

125

121

29

321

8

305

145

26

2<)5

13

130

150

29

310

11

3

310

169

24

280

15

3

135

178

28

296

14

315

191

22

264

16

140

204

26

280

16

4

320

212

21

246

18

4

145

229

25

261

19

325

231

19

227

19

24

21

17

21

150

+253

-240

+ 4

330

-248

+206

- 4

155

274

+21

216

+24

335

264

-16

184

-22

160

293

19

191

25

5

340

277

13

160

24

5

105

310

17

104

27

345

289

12

137

23

170

324

14

135

29

5

350

299

10

112

25

5

30

7

25

175

335

105

355

306

87

180

+344

+ 9

- 74

+31

+ 6

360

-312

- 6

+ 61

-26

- 5

32

TABLE IV. Continued.
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.
ARGUMENT VI.

Arg.

r

Diff.

f

Diff.

C 1

Diff.

Arg.

f

Diff.

'/

Diff.

{' Dill'.

e

.

+110

+ 3

+ 4

ISII

-114

+ 3

-7

5

109

14

+11

185

114

(> :

10

107

9

Jl

10

4

1'JO

118

+ i

14 "

G

15

105

35

11

196

ill

a

20

101

45

10

3

200

109

a

j.) 9

G

96

54

9

886

107

a

40

30

91

63

3

Jio

103

4

48

G

i k"'

85

TV.'

816

99

4

5C !

40

78

80

3

220

94

M

5

45

70

87

888

88

71

8

e

g

_

50
55

+ C2
53

- 9

+ 93
98

+ 5

+ 2

230

- 82
75

+ 7

- 78
84

-5

60

44

103

+ 1

840

68

7

80

4

65

34

107

846

CO

e

1C,

70

25

110

250

52

8

100

8

15

11-'

866

43

9

mi

80
85

+ 5
- 4

113

113

200
2G5

M

24

9
10

!ro

2

90

M

14
24

10

112 "

111

-1

270
876

14
- 4

10
10

in
in

- a

- 1

100
105
110
118
120

m

- 33
42
50
58
66
73

9

9
8
8
8

7

+108
105

m

96
88

87

3

- 3
3

4
1
6

-2
3
4

880
886

290

300
806

+ G
1C
BB
3C
46

10

+10
10
10
10
9

-in

110
108
105
101
9G

+ i
a

3
4
5

+ 1

130
135
140
145

80

6
6
97 ! *

81

68
60

6
7
8

5

o

810
816

886

84

72
80

87

9
8
8

90
83
/C
68

a

7

7
8

2
3

150
155
160
165

180

4
+101
105 -J

110
112
118

-114

'

37
28

20
II

' ::
=====

7

- 8

9
8
9

- 8

=====

6
6
6
-?

=====

848

866

SCO

-

+ it:?
98
103
100
108
110

+110

=

.^

6

+ 5
5
3
9
+ 9

=====

- 59
49

39

29
19

+ 3

9

+ 10
10
10
10

11
+11

=====

+ 3
3
4

+ 4

.

33

TABLE IV. Continued.
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.
ARGUMENT VII.

Arg.

f

Diff.

,'

Diff.

f

Diff.

Arg.

f

Diff.

f

Diff.

?

Diff.

O

+ 92

-125

-30

180

- 94

+122

+30

5

93 + '

10.2

+23

-3

185

95

- i

99 \

+ 3

10

92

77

25

33

190

95

76

23

33

25

o

24

15

92

52

2

195

95

52

2

20

90

27

25

35

200

93

+ 2

27

25

35

2

25

2

25

25

88 ;

- 2

- 1

205

91

+ 2

+ 1

30

65

+ 24

26

36

210

88

3

- 22

24

36

35

81

49

25

0,

215

85

3

47

25

4

25

24

40

77

74

36

220

80

71

36

4

24

5

24

45

73

98

225

75

95

5

23

+ 1

5

23

-1

50

+ 68

+121

-35

230

- 70

-118

+35

55

62

144

+23

3

235

64

+ 6

141

-23

3

6

22

21

GO

56

166

32

240

57

162

32

7

20

7

20

65

49

166

3

245

50

182

3

70

42

7

205

29

250

43

'

201

19

29

17

g

17

75

35

222

4

255

35

218

4

7

1 ^

g

15

80

28

237

25

260

27

233

25

85

20

8

250

13

5

265

19

247

14

5

a

11

n

10

90

12

261

20

270

10

a

259

20

10

g

10

95

+ 4

271

275

- 2

263 :

8

8

6

9

8

6

100

- 4

+279

-14

280

+ 7

-277

+14

105

12

- 8

284

+ 5

6

285

15

+ 8

283 I

6

110

20

8

267

3

8

290

23

8

287

8

115

28

8

288

+ '

6

295

31

8

289

6

7

U

J_ 1

120

35

287

- 2

300

39

288

+ 2

125

43

8

284

3

6

305

46

7

285

3

6

130

50

7

278

6

+ 4

310

53

'

280

5

- 4

135

56

6

270

8

6

315

59

6

273

7

6

7

in

Q

n

140

63 1

260

10

320

65

264

10

145

69 6

248

12

325

71

6

253

11

6

13

6

5

14

6

150

- 75

+235 |

+16

330

- 76 I

-239

-16

(55

so

- 5

220

6

335

80 +4

224

+ 15

6

160

84

4

203

17

22

340

64

207

17

22

3

18

1

18

1 <>.">

87 ;

185

5

345

87

189

3

170

90

165

20

27

350

89

169

20

27

175

93

3

144

21

+ 3

355

91

148

21

-3

iso

- 1)4

- 1

-22

+30

360

+ 92

+ 1

-125

+23

-30

[-1-

34

TABLE IV .Continued.

1T.K1 1 Ul'.AI loNS or THE CO-ORDINATES IN UNITS OF THE SIXT 1C1MAL.

ARGUMENT VIII

ARGUMENT 1\

Arg.

Dill

,' Diff.

ft

Diff. Arg.

f

Diff.

,' Diff.

<r Diff.

O

+206

- 85

_

- 27

- 16

-i

10

217 +"

48 **

10

30

15

2

20

- +i

-10 J

20

31

2

,--' 1

30

31

12

,'

40

919

40

31

10 ,

2

15

+ j

3

50

ID7

103

50

29

7

2

60

... 91

i:.:,

60

27

2

5

i

'.

QO

A

1

70

150

164

70

23

- 2

2

31

03

4

3

80

119

187 i

_

80

19

+ i

9

34

18

4

90

85

906

90

15

4

1

37

12

5

2

100

+'J17

100

- 10 :

+ 6

-1

+ 5

+ 3

110

+ 10

110

- 5

9

1

4

9

fi

no

- 29

120

+ i

11

-1

a

in

01

919

inn

6

13

n

.

U

K

1

140

103

197

i in

11

14

33

01

1

150

in

17C,

+ 1

150

16

15

+ 1

160

164

150

1

160

21

16

i

170

188

119

1

170

,M

16

i

l-i

-

? -:. -**

+J

180

+ 27 +3

+ 16

ARGUMENT X.

ARGUMENT XI.

ARGUMENT Ml

Arg.

Diff.

,/ Diff.

Arg.

i

Ditr.

v ' Diff.

Arg.

f Ditr.

,/ D.lV.

O

o

+32

+ 5

+21

-10

10

6

10

+ 1

10

99

6

20

30

rj

20

99

- :i

20

23

- 2

30

38

IT

30

5

i

7

30

89

+ 1

40

M

21

40

-'

11

40

22

r,

50

50

M

U

50

21

g

60

Hi

28

CO

16

IT

60

19

1:1

70

10

91

70

r.-

19

70

17

16

80

BO

8

U

80

14

18

- 1

90

5

22

N

10

20

100

- 6

-3-.'

100

_

I

-a

100

4 r.

449

no

19

30

no

+

3

110

+ _'

U

120

1 .

190

9

."J I'.'O

- 1

98

in

91

M

in

n

Jii i:to

.-,

>>

1 In

110

14

18

111)

g

91

II

180

i

~

16

160

19

in

Ml

10

19

19

100

n;

n;

170

170

91

[i

ITO

1!)

i:i'

+ 1 1*0

180

-1

> in

1 . tin- Argument-. .\* i .iililr.i. 1 1-0, .ni.l r. i.-r-r lli.- .IRI, ml ;'

35

TABLE IV. Concluded..

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL.

ARGUMENT XIII.

ARGUMENT XVII.

ARGUMENT XX.

ARGUMENT XXIII.

Arg.

P

if

Arg.

?

<f

Arg.

?

1'

Arg.

p

I 1

O

O

-10

- 4

_ ^

- 5

+ 1

- 1 ,

20

10

20

4 3

20

1

20

+ 1

40

10 + 3

40

5

- 1

40

1

40

1

60

8 7

60

5

+ 1

60

1

+ 1

60

1

80

5 9 80

5

3

80

+ 1

1

80

1

100

- 2 10 100

4

4

100

1

100

+ 1

+ 1

120

+ J 10 120

2

6

120

1

120

1

140

5 9 140

- 1

6

140

1

140

1

160

8

7

160

+ 1

6

160

- 1

+ 1

160

1

180

+10

+ 4

I ISO

+ 3

+ 5

180

- 1

180

+ 1

ARGUMENT XIV.

ARGUMENT XVIII.

ARGUMENT XXI.

ARGUMENT XXIV.

-10

- 3

+ 2

- ]

+ 2

- 2

- 1

- 2

20

10

20

2

20

2

- 1

20

1

- 1

40

10

+ 3 40

2

40

2

o

40

I

60

8

7

CO

2

+ 1

CO

2

+ ]

60

2

80

5

9

80

1

1

80

2

1

80

2

+ 1

100

- 2

10

100

+ 1

2

100

2

2

100

1

1

120

+ 2

10

120

2

120

+ 1

2 120

- 1

2

140

5

9

140

- 1

2

140

2 140

2

160

8.

7 160

1

1

160

- 1

2 160

2

180

+10

+ 3 180

- 2

+ 1

180

- 2 +2

180

+ 1

+ 2

ARGUMENT XV.

ARGUMENT XIX.

ARGUMENT XXII.

ARGUMENT XXV.

- 2

+15

- 1

+ 1

-

- 1

20

+ 3

15

20

1

20

+ 1

20

+

40

8

13

40

1 - 1

40

40

60

12

10

60

1 1

60

60

80

14

+ 5 80

1

80

- 1

80

100

15

100

1

100

1

-

100

+

+

120

14

- 5

120

1

120

1

120

140

11

10

140

+ 1

1

140

1

140

160

7

13

160

1

- 1

160

1

ICO

180

+ 3

-15

180

+ 1

180

- 1

+ 1

ISO

+

ARGUMENT XVI.

- 5

- 3

20

6

- 2

40

6

60

5

+ 2

80

4

3

100

- 2

5

120

5

140

+ 2

5

160

3

4

180

+ 5

+ 3

From the Arguments >180 subtract 180, and reverse the sign off, rj', and C'-

36

TAP.U-: v.

LOGARITHMS FOR REFKKUINO TIIK PERTURBATIONS

TO THE

I (JCATOR.

Mean Equinox of the beginning of the Year.

Year.

eo (i, x)

coi (y, z)

COB (Z, I)

coi (z, y)

coi (y, y)

co (z, y)

cos (z, z)

cog (y, z)

COB (Z, Z)

HUB

9.998756

8.151278/1

8.870449

8.626197

9.963147

9.594 !>:.

8.796613n

9.596408

.'189

\ -:.:

-755

8.158664n

8.870441

8.628476

9.963146

9JS94167I

'Hi/i

9.696407

9.9621! Hi

1858

9.998753

8.165956n

8.870 l:v.'

8.630743

'.i.'.iinui

:i..v>4149n

A66n

9.596406

9.969196

1859

9.998752

8.17309971

8.870424

--998

ii.'.M;:u43

!i..-.'.m:n

-.7'M591n

9.596404

.'..H;*JOO

18601?

-750

8.180155n

8.870415

8.635242

9.963141

9.594 11 3n

n:,;(

9.596409

aoa

1861

9.998749

8.187069n 8.870407

8.637474

:i.'.;:u4o

:!..v.i40!ifm

8.703-':!7/i

9^96401

9.962207

ISM

9.998747

8.193903n

- -70398

*.<;:'JG96

'.t.!M!3138

:i..v.i4077

9.79956911

9.596399

9.968910

1863

9.996746

8.200604n

8.870389

8.641905

!.!Mi3i:i7

9.594059n

B.791879n

16398

!i.'.M;2214

18MB

-744

8.207230n

8.870380

8.644104

9.963135

9.594040/j

8.791 199n

9.596396

'.'.W2217

1886

9.998743

8.213730n

8.870:!7ii

8.64i

9.963134

I099H

8.7905 17n

9.596396

9.98999]

1881

9.998741

8.220 160n

8.8701!'.:! H.648467

9.9C3132

9.594004n

8.789835n

9.596393

9.969994

1867

9.998739

8.22647171

8.870354 8.650f,:i-,

'.'.:i(;:}i30

MW8088H

8.789151n

BJ88391

9489988

18685

9.998737

8.23271 7 H

8.870345

8.652788

!.!Mi31S8

BJS89967H

8.788466H

9.596389

!l.!Mi'31

186!)

9.998736

8.23884971

8.870337

8:654939

!i.'.M;:ti-.'7

9J93949H

8.787780n

B.596388

1936

1870

9.9<>7:tl

8.24492071

8.870328

8.657066

;i.'.wi:ti2r,

'.i.."i'.i:i3iH

-.7-7093H

9.696388

9.969938

1871

-732

8.25088371

8.870319

8.659188

!l.!IC,:tl23

!i.:.! i:t'.l|3;j

-.7-1:40571

9.596384

9.989941

I879J9

9.998730 8.a567t;CH

8.870310

8.661301

9.9C:!I'.'I

!I..V.i:t,-!HH

8.7857 II :/i

9.696389

!i.'.Ui-J->44

1873

IK 8.26257071

8.870302

3404

'.i.%:ui;

9.593^7 1;

-.7.-50.T.74

9^96380

9.969948

1874

9.998726 8.268321 n

8.87(!-".':!

W7

9.'.ii;:ui7

!i..V.I3858

8.784333/1

6378

9.969951

1875

-724

-.-,'7:i73;i 8.870284

8.667584 9.963115

!l.. r .;t3840

8.78414071

9.596376

9.989966

18710

-782

8.279r>'.i:t/i

8.870275

8.669661

!I.'.M;3113

:i.:.!i:W3in

-,7-.".i4t;/i

9.596374

9.969958

1877

8.28510771

8.870266

8.671719

;I.!M;:IIII

!i..v.:wo3n

-.7 -.'-:.< 7i

9.59(i:i7i

9.9B9969

1878

9.998718

8.29056971

8.870257

7S7B7

'.I.'.HKUOS

BOS03785II

8.7815.V./1

!'.:.:

9.969966

l-7'.i

9718

8.296 160n

8.87024 < >.ii7.>l'.i

;I.:H;:UO-

.i.r.:i:(7ii7;i

8.78085771

9JW888B

9J89968

I8B&B

H.'.f.i-TI 1

8.301290n

8.870239 -.i;77-i,-^

:i.!;:{|(i4

!l..V.i:t74-;i

8.780i:.!i

'.I..V '

9.989971

1--I

9498719

8.306532n

8.8702:'.n 91079891

!i.!Mi:U02

!i..">'.i:t730;i

'ir.i/i

9.596364

9976

1869

-| -.:!i 1733/t

8.870-J-JI '.i;-i:no '.i.iMKllOO

:i.r.'.i:!7l-JH

-.77S748n

9.596369

9.989978

1883

:n- -.:in;-:.i;(

8.870212 8.683940 '.I.'.M;:III:I-

:i..v.i:;i;!i.|;i

3.77805111

9.598360

:-.'-.'

I --!/>'

-706

BJU960H

8.870203

-.-I :i.!'.;:i(i'.i:.

:'..7Kll!7.-.;i

s.777353/1

:>.:>

9.969988

1885

T.OH

8.870194

8.687912 9.!K!3093

9.593657N

-.7;^

9.596354

9469989

I--,.

8.331918*

8.870185

8.68H.-.I.-. !>.:Mi:to:ii

<.i.:.'.Kii;:i:i;i

-.77.V.M:!

9J06354

9.96)1

I--7

-700

8.336800n

8.870176

8.691.-C.I :i.'."

!t.r.!l3t;-JlH

S.77.V.>3C,/i

9.596369

9.969996

!---/<

8.34 !

8.870167

0894

9.988086

S609H

B.774599H

9.596349

9469996

1 i

8.34643 In

8.870158

771

!i.:tt;:tn-i :i..vi:t:.-i

B.773891JI

9.696341

9.969309

-.:!.M I7-/I

- -Tiil-1'.l

'7717

9.5935660

B.773119H

9.596346

9.969306

1891

'-691

8.355854n

8.870140

.;.-, i

1060

9.693648n

3.779401fl

9.696349

9468809

i - . /;

8.360499n

8.870130

8.701577

;I..YI:I.-,:I;I

3.77169011

9.596340

!l.!Ki2312

'17671 8.C7III-J]

8.703493

53076

9.593519n

8.77097711

9.691

9.989316

18M

BMfl -.-71111-.'

8.706409

9.963079

:i..v.:i4!4

3.770964fl

9.596336

9.969319

i- '-.

-.n -.-THICKS

-.7117:111-,' :i.:Mi:!ii7u :(..v.i:u:t;/

B.769549M

9.596334

9389

i- ./;

- JTOOOa -.7(i:i|:M !i.'.M;:!nr,7

:>.:>:>

8.768834fi

9.606331

9.969396

1- '7

: 11077 !'.

:i..v.i:u:;:.,,

3.768116D

16391

9.969399

i- -

'In . -.-7nu;.-, -.71 .':!.-,:! ;i.

I'.'lH

B.7W

9.596398

9.969339

I8M

,., 3.870066 -.7ii-r.t

1060

I403N

-.:<:

9.596394

9.988336

-.-7ipn.-p<; -.7i;r.::i '.i.'.;:iii:,7 :I..Y':I.:-I/I

8.76

9.606391

{339

37

TABLE VI.

CONSTANTS FOR THE EQUATOR.

Equator and mean Equinox at the beginning of the Year.

Year.

#

B<

C<

log sin a

log siu b

\

log sin r

18565

/ II

90 48 50.1

o / //
2 38 7.2

/ II

350 59 24.5

9.998801

9.963607

9.601800

1857

90 49 40.5

2 38 57.1

351 13.7

9.998801

9.9G3611 9.601782

1858

90 50 30.8

2 39 47.0

351 1 2.9

9.! 198801

9.963614

9.601764

1859

90 51 21.2

2 40 36.9

351 1 52.2

9.998801

9.9636 is

9.601746

18605

90 52 11.7

2 41 27.0

351 2 41.5

9.998801

9,963031

9.601728

1801

90 53 2.0

2 42 16.9

351 3 30.7

9.998801

9.963625

9.601710

1869

90 .->:! 52.4

2 43 6.8

351 4 19.0

9.998801

9.963628

9.601692

1863

90 54 42.7

2 43 56.7

351 5 8.2

9.998801

9.963631

9.601674

18045

90 55 33.2

2 44 46.7

351 5 58.6

9.998801

9.963634

9.601657

1865

90 56 23.5

2 45 36.6

351 6 47.9

9.998801

9.963638

9.601639

1866

90 57 13.9

2 46 26.5

351 7 37.2

9.998801

9.963641

9.601621

1867

90 58 4.2

2 47 16.4

351 8 26.5

9.998801

9.963844

9.601603

18685

90 58 54.7

2 48 6.4

351 9 15.9

9.998801

9.963647

9.6015-.-,

I860

90 59 45.0

2 48 56.3

351 10 5.2 1 9.998801

9.963661

9.601567

1870

91 35.4

2 49 46.2

351 10 54.5

9.998801

9.963654

9.601549

J871

91 1 25.7

2 50 36.1

351 11 43.8

9.998802

9.903057

9.601531

18725

91 2 16.2

2 51 26.1

351 12 33.2

9.998802

9.963660

9.601514

1873

91 3 6.5

2 52 16.0

351 13 22.5

9.998802

9.963664

9.601496

1874

91 3 56.9

2 53 5.9 351 14 11.9

9.998802

9.963667

9.601478

1875

91 4 47.2

2 53 55.8

351 15 1.2

9.998802

9.963671

9.601460

18765

91 5 37.7

2 54 45.8

351 15 50.6

9.998802

9.963674

9.601442

1877

91 6 28.0

2 55 35.7

351 Mi 39.9

9.998802

9.963678

9.601424

1878

91 7 18.4

2 56 25.6

351 17 29.3

9.998802

9.963681

9.601406

1879

91 8 8.7 '

2 57 15.5

351 18 18.6

9.998802

".963684 9.601388

18805

91 8 59.2

2 58 5.5

351 19 8.1

9.998809

9.963687

9.601371

1881

91 9 49.5

2 58 55.4

351 19 57.5

9.998802

9.963691

9.601353

1882

91 10 39.9

2 59 45.3

351 20 46.8

9.998802

9.963694

9.601335

1883

91 11 30.2

3 35.2

351 21 36,2

9.998802

9.963697

9.601317

18845

91 12 20.7

3 1 25.2

351 22 25.7

9.998802

9.963700 9.601299

1885

91 13 11.1

3 2 15.1

351 23 15.1

9.998802

0.903704 9.601261

1886

91 14 1.4

3 3 5.0

351 24 4.4

!>.!)8802

9.963707

9.601263

1887

91 14 51.8

3 3 54.9

351 24 53.8

9.998803

9.963710

9.601946

18885

91 15 42.3

3 4 44.9

351 25 43.4

9.998803

9.963713

9.60 1227

1889 '

91 16 32.6

3 5 34.8

351 26 32.7

9.998803

9.963717 9.601209

1890

91 17 23.0

3 6 24.7 351 27 22.1

: 1.998803

9.963720 9.601191

1891

91 18 13.3

3 7 14.6 351 28 11.4

9.998803

9.963721 9.601173

18925

91 19 3.8

3 8 4.6 351 29 0.9

9.998803

9.963727 9.601156

1893

91 19 54.2

3 8 54.5 351 29 50.2

9.998803

9.963731 9.601138

1894

91 20 44.5

3 9 44.4 35] 30 39.6

9.998803

9.903734 9.6011 20

1895

91 21 34.9

3 10 34.3 351 31 28.0

9.99--- (K!

9.96373S 9.601102

I896J9

91 22 25.4

3 11 24.3

351 32 18.4 9.99.-S03

9.963741

9.601065

1897

91 23 J5.7

3 12 14.2

351 33 7.7 9.998803

9.963745 9.601067

1898

91 24 6.1

3 13 4.1 351 33 57.1 9.99SSD3

9.90374* 9.601049

1899

91 24 56.4 3 13 54.0 351 34 10.4 9.998S03

9.963751 9.601031

190(1 5

91 25 26.9 3 14 44.0 351 35 35>

9.998803

9.9637.54 9.601014

H-

UNIVERSITY OF CALIFORNIA LIBRARY

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